Consider the following discrete time process: at integer times, a marble arrives which can be one of m colors. Each color is equally likely; all events at different times are independent. As each marble arrives, it is placed into a bowl Unless there is a marble of that color already in the bowl. Then, that marble is removed from the bowl and the new marble does not go into the bowl. (The pair is placed in a separate bin for shipping). Let Gn denote the number of marbles currently in the bowl after the nth marble arrives. Compute,(a) the expectation E(Gn).(b) limn→[infinity] E(Gn).

Answers

Answer 1

Answer:

Below are the responses to the given question:

Step-by-step explanation:

Let X become the random marble variable & g have been any function.

Now.

For point a:

When X is discreet, the g(X) expectation is defined as follows

Then there will be a change of position.

E[g(X)] = X x∈X g(x)f(x)

If f is X and X's mass likelihood function support X.

For point b:

When X is continuing the g(X) expectations is calculated as, E[g(X)] = Z ∞ −∞ g(x)f(x) dx, where f is the X transportation distances of probability.If E(X) = −∞ or E(X) = ∞ (i.e., E(|X|) = ∞), they say it has nothing to expect from EX is occasionally written to stress that a specific probability distribution X is expected.Its expectation is given in the form of,E[g(X)] = Z x −∞ g(x) dF(x). , sometimes for the continuous random vary (x). Here F(x) is X's distributed feature. The anticipation operator bears the lineage of comprehensive & integral features. The superposition principle shows in detail how expectation maintains equality and is a skill.


Related Questions

Make congruent angles. Write down the ratios.

Answers

Answer:

Ratio=BG/RT=RA/BA=TA/AG

Step-by-step explanation:

Help me please I’m begging worth 40 points!!!!!

Answers

I think the answer is (a).

Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
A.
B.
C.
D.

Answers

Answer:

C

It is the only point that connects the two lines

This question is asking what is the missing term can someone help please.

Answers

Answer:

-4

Step-by-step explanation:

From the question, we can deduce that the algebraic expression is a multiplication of a number and a variable.

First instance;

Number = +1

variable= x

Output = -4

+1 * x = -4

x = -4/1 = -4

Second instance;

Let the unknown number be y.

Number = y

variable= 2x

Output = -8x

y * 2x = -8x

y = -8x/2x

y = -4

Check:

2x * -4 = -8x

PLEASE HELPPPP MEEEEE, JUSTFIY PLZZ​

Answers

Answer:

a. Unsure

b. True

c. Unsure

d. True

A - False

B - True

C- False

D- True

Find the mean of the following data set 5,9,3,12,14,67,22,45,1,12,14

Answers

Answer:

18.5 i believe

Step-by-step explanation:

sorry if im wrong, have a great day!!

round 8,437 to the nearest whole number

Answers

Answer:

the answer is 8,000.

Step-by-step explanation:

Confusion .. help please

Answers

Answer:

2

Step-by-step explanation:

We are to determine the value of KM which is adjacent to angle 35. we also have the value for the hypotenuse. Thus we would use COS

Cos 35 = adjacent /hypotenuse

0.8192 = adjacent / 123

adjacent = 0.8192 x 123 = 100.7557 cm

100.8 cm

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

What is the meaning of amplitude and period in math?

Answers

Answer:

See below

Step-by-step explanation:

For a wave function, the amplitude is the distance from the maximum or minimum of the function to the midline. The period is the length of which the wave cycle repeats (for example y=sinx has a period of 2pi).

Answer:

Amplitude is the height from the mean, or rest,value of the function to its maximum or minimum . ...The period is the distance required for the function to complete one full cycle. For the sin function, the amplitude is given by and the period is defined as. The same is true for a cosine function.

Step-by-step explanation:

hope it is helpful to you

[tex]nisha[/tex]

The probability that a student is accepted to a prestigious college is 0.3. If 5 students from the same school apply, what is the probability that at most 4 are accepted

Answers

Answer:0.849185

Step-by-step explanation:

Binomial probability formula we will use:

[tex]$P(x)=\frac{n !}{x !(n-x) !} p^{x} q^{n-x}$[/tex]

where,

[tex]n=5$\\$\mathrm{P}$ (probability of success) $=0.3$\\q=1-p[/tex]

The computation of the probability will be :

[tex]$P(x \leq 2 ; 5,0.3)=P(x=0 ; 5,0.3)+P(x=1 ; 5,0.3)+P(x=2 ; 5,0.3)+P(x=3 ; 5,0.3)$\\$=\left[\frac{5 !}{5 !(5-0) !}(0.3)^{0}(1-0.3)^{5-0}\right]+\left[\frac{5 !}{5 !(5-1) !}(0.3)^{1}(1-0.3)^{5-1}\right]$$+\left[\frac{5 !}{5 !(5-2) !}(0.3)^{2}(1-0.3)^{5-2}\right]$$++\left[\frac{5 !}{5 !(5-3) !}(0.3)^{3}(1-0.3)^{5-3}\right]$$++\left[\frac{5 !}{5 !(5-4) !}(0.3)^{4}(1-0.3)^{5-4}\right]$\\$=0.1681+0.3601+0.3087+0.006615+0.00567$\\$\Rightarrow 0.849185$[/tex]

The probability that at most 4 are accepted = 0.849185

the circle below is centered at (-1,1) and has a radius of 3. what is its equation?

Answers

Answer:

[tex](x+1)^2 + (y-1)^2 = 9\\\\or\\\\x^2 + y^2 +2x -2y -7 = 0[/tex]

Step-by-step explanation:

[tex](x +1 )^2 + (y -1)^2 = 3^2\\\\x^2 +2x +1 + y^2 + 1 -2y = 9\\\\x^2 + y^2 +2x -2y +2 -9 = 0\\\\x^2 + y^2 +2x -2y -7 = 0[/tex]

Given f(x) = 3 and g(x) = cos(x). What is lim [F(x) - g(x)]?

x = -TT

2

4

DNE

Answers

Answer:

4

Step-by-step explanation:

[tex]\lim_{n \to \ -\pi } (f(x) - g(x))\\\\ = \lim_{n \to \ -\pi } (3 - cos x)\\\\ = 3 - cos( - \pi) = 3 - cos(\pi)\\\\ = 3 - (-1) = 3 + 1 = 4[/tex]

Whenever she visits Allenville, Maureen has to drive 48 miles due north from home. Whenever she visits Weston, she has to drive 14 miles due east from home. How far apart are Allenville and Weston, measured in a straight line?

Answers

Answer:

34 i belive not 100% sure but what grade level is this

Step-by-step explanation:

Please help!

What is g(x)?

Answers

Answer:C

Step-by-step explanation:

What is the greatest common factor of the two terms


24x^6 and 18x^4


30x^3y^5 and 25x^2y

Answers

24x⁶ and 18x⁴ —> 6x⁴

30x³y⁵ and 25 x²y —> 5x²y

Kurtosis of a normal data distribution is a ___________________ Group of answer choices Measure of data centrality Measure of data quality Measure of data shape Measure of data dispersion

Answers

Answer:

Option A, Measure of data centrality

Step-by-step explanation:

Normal distribution curve determines the skewness of the data as to what extent is is disoriented from the normal distribution curve. Also, it is the probability distribution curve that determines whether the data set is two legged, one legged or it lies under which probability curve.

Hence option A is correct

The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 25 ft,
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
Please help !!!

Answers

Answer:

The answer is below

Step-by-step explanation:

a) Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It states that the square of the hypotenuse is equal to the sum of the square of the legs of the triangle.

Let x be the length of the hypotenuse, using Pythagoras:

x² = 25² + 25²

x² = 1250

x = 35 (to the nearest whole number)

b) Using sine rule:

[tex]\frac{x}{sin(90)} =\frac{25}{sin(45)} \\\\x=\frac{25}{sin(45)} *sin(90)\\\\x=35(to \ nearest\ whole\ number)[/tex]

Rachel ate 1 4/6 brownies, and brandy ate 6/7 of a brownie. how many brownies did they eat altogether?​

Answers

Answer:

53/21 OR 2 11/21

Step-by-step explanation:

1 4/6 + 6/7

Change 1 4/6 into an improper fraction

1 4/6 6x1= 6+4= 10/6

Simplify 10/6 --> 5/3

5/3+ 6/7

find a common denominator (21)

35/21+18/21= 53/21

mixed number form is 2 11/21

Answer:

[tex]2 \frac{11}{21}[/tex]

Step-by-step explanation:

1 4/6 + 6/7 = 2 11/21

Suppose that inches of wire costs cents.
At the same rate, how many inches of wire can be bought for cents?

Answers

Answer:

11 inches

Step-by-step explanation:

Given :

15 in of wire = 90 cents

At the same rate :

x inch of wire = 66 cents

Cross multiply :

90x = 15 * 66

90x = 990

x = 990 / 90

x = 11

11 inches of wire

Determine the following indefinite integrals. Check your work by differentiation.

∫4x^1/3-x^-1/3dx

Answers

Answer:

[tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 3x^\bigg{\frac{4}{3}} - \frac{3x^\bigg{\frac{2}{3}}}{2} + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integration

IntegralsIndefinite IntegralsIntegration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Addition/Subtraction]:               [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = \int {4x^\bigg{\frac{1}{3}}} \, dx - \int {x^\bigg{\frac{-1}{3}}} \, dx[/tex][1st Integral] Rewrite [Integration Property - Multiplied Constant]:             [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 4\int {x^\bigg{\frac{1}{3}}} \, dx - \int {x^\bigg{\frac{-1}{3}}} \, dx[/tex][Integrals] Reverse Power Rule:                                                                   [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 4 \bigg( \frac{3x^\bigg{\frac{4}{3}}}{4} \bigg) - \frac{3x^\bigg{\frac{2}{3}}}{2} + C[/tex]Simplify:                                                                                                         [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 3x^\bigg{\frac{4}{3}} - \frac{3x^\bigg{\frac{2}{3}}}{2} + C[/tex]

Step 3: Check

Differentiate the answer.

Rewrite [Derivative Property - Addition/Subtraction]:                                 [tex]\displaystyle \frac{d}{dx} \bigg[ 3x^\bigg{\frac{4}{3}} \bigg] - \frac{d}{dx} \bigg[ \frac{3x^\bigg{\frac{2}{3}}}{2} \bigg] + \frac{d}{dx} \bigg[ C \bigg][/tex]Rewrite [Derivative Property - Multiplied Constant]:                                   [tex]\displaystyle 3\frac{d}{dx} \bigg[ x^\bigg{\frac{4}{3}} \bigg] - \frac{3}{2}\frac{d}{dx} \bigg[ x^\bigg{\frac{2}{3}} \bigg] + \frac{d}{dx} \bigg[ C \bigg][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle 3 \bigg( \frac{4}{3}x^\bigg{\frac{1}{3}} \bigg) - \frac{3}{2} \bigg( \frac{2}{3}x^\bigg{\frac{-1}{3}} \bigg)[/tex]Simplify:                                                                                                         [tex]\displaystyle 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}}[/tex]

∴ we have found the answer.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer for brainlest

Answers

Answer:

∠1 = ∠5

Step-by-step explanation:

The reason is because corresponding angles are equal! :)

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is __________ .

Answers

Answer:

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

Step-by-step explanation:

Complete question

Please find the attachment

Solution

The frequency distribution is as follows

Interval Frequency Cumulative Frequency Relative Cumulative Frequency

1 to 5 8 8 0.16

6 to 11 8 16 0.32

11 to 15 13 29 0.58

16 to 20 9 38 0.76

21 to 25 3 41 0.82

26 to 30 4 45 0.9

31 to 35 3 48 0.96

36 to 40 2 50 1

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 0.68.

From the given figure (image 1)

The cumulative frequency of students who earned a score of 20 or lower on the quiz is = 4+8+15+7=34.

Total frequency is = 4+8+15+7+7+3+4+2=50.

So the relative cumulative frequency is = 34/50 = 0.68 = 68%

Learn more: https://brainly.com/question/13646998

i need this done fast

Answers

Answer: 1) V≈1244.07 in             2) V≈54286.72 ft         3) V≈23816.41 yd

Step-by-step explanation:

Slope Formula
What is the slope of the line with points (-3, -3) and (-1, - 2)?

Answers

Answer:

1/2

Step-by-step explanation:

Slope can be expressed with the formula below

Which is is the difference in y axis over that of x axis

m=( y2 - y1)/(x2 - x1)

( x1 y1) = (-3, -3)

x2 y2)= (-1, - 2)

= ( -2+3)/(-1+3)

m= 1/2

Hence, the slope of the line is 1/2

can someone please help me with this​

Answers

Answer:

Surface Area = 139.4 (rounded to nearest tenth)

I NEEED HELPPPPPPPPP!!!!!

Answers

I believe the answer would be 50

The two way table shows the results of a survey that asked high school students whether they have a job.

Answers

(a) 50%
(b) 17%

Explanation:

(a)
No. of seniors = 54 + 46 = 100
Total No. = 66 + 34 + 54 + 46 = 200

% of seniors = 100/200 x 100% = 1/2 x 100% = 50%

(b)
No. of juniors that do not have a job = 34
Total No. = 66 + 34 + 54 + 46 = 200

% of juniors that do not have a job = 34/200 x 100% = 17/100 x 100% = 17%

additive inverse of -33​

Answers

Additive Inverse of -33

༆ANSWER:

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{➢33}}}}[/tex]

The additive inverse of -33 is 33.

Remember!

»The opposite of the given integer is called its additive inverse. The sum of a number and its additive inverse is zero. For example, the additive inverse of -4 is 4, so when you add the two integer they sum will be zero.

Help for these 3 right answer will get brainliest.

Answers

Answer:

will you help me with grade 9 math, algebra 2 please

Step-by-step explanation:

find the area of the figure. round your answer to the nearest hundredth

Answers

Answer:

im sorry i cant these numbers

Step-by-step explanation:

Other Questions
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He died in 1864.One September night a family had gathered round their hearth, and piled it high with the driftwood of mountain streams, the dry cones of the pine, and the splintered ruins of great trees that had come crashing down the precipice. Up the chimney roared the fire, and brightened the room with its broad blaze. The faces of the father and mother had a sober gladness; the children laughed; the eldest daughter was the image of Happiness at seventeen; and the aged grandmother, who sat knitting in the warmest place, was the image of Happiness grown old. They had found the "herb, heart's-ease," in the bleakest spot of all New England. This family was situated in the Notch of the White Hills, where the wind was sharp throughout the year, and pitilessly cold in the winter, giving their cottage all its fresh inclemency before it descended on the valley of the Saco. They dwelt in a cold spot and a dangerous one; for a mountain towered above their heads, so steep, that the stones would often rumble down its sides and startle them at midnight.The daughter had just uttered some simple jest that filled them all with mirth, when the wind came through the Notch and seemed to pause before their cottagerattling the door, with a sound of wailing and lamentation, before it passed into the valley.The family were glad again when they perceived that the latch was lifted by some traveller, whose footsteps had been unheard amid the dreary blast which heralded his approach, and wailed as he was entering, and went moaning away from the door.The door was opened by a young man. His face at first wore the melancholy expression, almost despondency, of one who travels a wild and bleak road, at nightfall and alone, but soon brightened up when he saw the kindly warmth of his reception. He felt his heart spring forward to meet them all, from the old woman, who wiped a chair with her apron, to the little child that held out its arms to him. One glance and smile laced the stranger on a footing of innocent familiarity with the eldest daughter."Ah, this fire is the right thing!" cried he; "especially when there is such a pleasant circle round it. I am quite benumbed; for the Notch is just like the pipe of a great pair of bellows; it has blown a terrible blast in my face all the way from Bartlett." Denise collects stuffed animals. The number of stuffed animals in her collection, a, after n, number of years, can be described by the equation a(n) = 3 + 4n. Which statement best describes the rate of change?A. The number of stuffed animals in Denises collection is multiplied by 4 each year.B. Denises collection increases by 4 stuffed animals per year.C. Denises collection increases by 3 stuffed animals per year.D. Denise spends $4 per year on stuffed animals. What was the main difference between the US-Philippines relationship and the US-Cuba relationship after the Spanish-American War?Cubans rebelled against the US while Filipinos accepted US rule.Cuba became a US colony while the Philippines became independent.Filipinos opposed US military bases while Cubans welcomed the bases.The Philippines became a US territory while Cuba became independent. 3. Which number is the largest?(A) 0,56(B) a half C) 0.0599 (D) 0,09 (E) a half What Are You Doing With Your Life? Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the totalvalue of the discount? please help me with this equation!you will be marked as brainliest Can someone help me with this Which of the following is an example of an infrastructure problem in Mexico City? 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How many eggs did she have left What's the volume to this prism? rrrrrrrrrrrrrrrrrrrrrrrrrrrrrr Q5: An ice skater moving at 12 m/s coaststo a halt in 95m on an ice surface. What is the coefficientof (kinetic) friction between ice and skates? what is the time in Nigeria WHOEVER GETS IT ROGHT I WILL GIVE YOU BRAINLIEST How did Western Europe maintain cultural unity after the fall of the Western Roman Empire? Confederations of Germanic tribes maintained the organization and structure of the empire. The Christian Church gave the various people and tribes in Western Europe a cultural center. Uninterrupted international trade preserved a sense of shared culture. The early kingdoms of Western Europe gave the populace a sense of a European community.