A random variable X has a lognormal distribution if Y = ln X has a normal distribution. For this problem, assume that Y has a mean and standard deviation of 0.353 and 0.754
(a) What are the possible values X can take?
(b) What is the probability that X is between 1 and 2?

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information:

For X to be valid, the possible values of X should be greater than zero i.e. X > 0

If X obeys a lognormal distribution

Then; Y = In X

So,

Now,

[tex]E(X) = e^{0.353} + \dfrac{1}{2}(0.754)^2[/tex]

[tex]E(X) = 1.8913[/tex]

Also;

[tex]V(X) = e^{2 \times 0.353 + 2(0.754)^2} -e^{2\times 0.353 + (0.754)^2}[/tex]

V(X) = 2.7387

SD(X) = 1.6549

[tex]P(1 < X < 2) = P(X < 2) - P(X < 1)[/tex]

= 0.108


Related Questions

A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?

Answers

Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

8X = 40

X = 40/8

X = 5

Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.

2 + 6d = _____ d = 8

Answers

Answer:

The answer is 50 :)

Step-by-step explanation:

Since d=8, you multiply 6 times 8 which gives you 48 then add the 2.

If a tires k=0.85, what does this tell you about the tire installed on the car as opposed to the factory-installed tire?
A) The tire on the car is smaller than factory installed tire.
B) The tire on the car is the same as the factory installed tire.
C) The tire on the car is larger than the factory installed tire
D) The k value tells us nothing about the tire on the car.

Answers

Answer: since I don’t understand this question I’m choosing D

Step-by-step explanation:

Which of the following represents a function?

EXPLAIN YOUR ANSWER if correct will mark brainiest

Answers

Step-by-step explanation:

[tex]x \geqslant - 5[/tex]

from the graph it's seen there's a dot on -5 so it's also considered

and since it considered -5 and greater.

[tex]x \geqslant - 5[/tex]

what is an eqivallent fraction to 4/3

Answers

Answer:

8/6

Step-by-step explanation:

That is because 8 and 6 are double than that of 4 and 3 so it is an equavalent equation.

Answer:

8/6

Step-by-step explanation:

Multiply the numerator and denominator by 2! :)

Find the measure of angle B
(9x+2) (5x-4)

Answers

Answer:

119

Step-by-step explanation:

[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]

Answer:

In the given figure, we know that (angle B+angle C)=180°.

[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]

Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.

what am i supposed to put in that chart?

Answers

Answer:

as explained

Step-by-step explanation:

as in the photo i've shown :

i've shown the table for you both

i've shown the graph for one only the second one hope you can complete it if you have any questions you can ask.

for first one

if x=2 replace x=2 in f(x) you will get f(2)=4

f(3)=1

f(4)=0

f(5)=1

f(6)=4

Why did I start with x=2 and not x=1 because f(1)=9 in the graph provided there is no marking for y=9 but when drawing the graph extends it (as in photo 3 not as in photo 4)(graph in photo 3 is better)

Hope you understand(you can also put(2,4) ,(3,1) and so on in the graph as in photo 5

A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.13 for each minute of calls.

For what amount of calling do the two plans cost the same?
minutes
What is the cost when the two plans cost the same?
$

Answers

Answer:

525; $68.25

Step-by-step explanation:

21+.09x=.13x

x=525

21+.09(525)=68.25

.13(525)=68.25

The answers are :

A) The amount of calling for which the two plans cost the same will be 525 minutes.

B) The cost when two plans cost the same amount is $68.25.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

A)

Let's assume the amount of calling is x for which the two plans cost the same.

So , the algebraic expression can be written as ;

Plan A = Plan B

or

21 + (0.09 × x) = 0 + (0.13 × x)

Solving this we will get amount of calling for which the two plans cost the same as :

21 = 0.13x - 0.09x

0.04x = 21

x = 525 minutes

B)

Now , the cost when two plans cost the same amount :

Plan A = 21 + (0.09 × 525) = 21 + 47.25 = $68.25

or

Plan A = Plan B = $68.25

Therefore , the answers are :

A) The amount of calling for which the two plans cost the same will be 525 minutes.

B) The cost when two plans cost the same amount is $68.25.

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4(b-3)=6 put the steps in Oder to solve the equation from first to last

Answers

Answer:

B= 9/2 Hope this helped

Let's solve your equation step-by-step.

4(b−3)=6

Step 1: Simplify both sides of the equation.

4(b−3)=6

(4)(b)+(4)(−3)=6(Distribute)

4b+−12=6

4b−12=6

Step 2: Add 12 to both sides.

4b−12+12=6+12

4b=18

Step 3: Divide both sides by 4

The value of b in the expression 4(b - 3) = 6 is 4.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, 4(b - 3) = 6 and we have to solve for b.

4(b - 3) = 6.

4b - 12 = 6.                              (distributive law a(b+c) = ab + ac).

4b = 6 + 12.           (constants change sign when moved to the other sides).

4b = 16.

b = 16/4.

b = 4.

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Which ordered pair is in the solution set of the system of inequalities shown in the graph below

Answers

-2, -1 is the correct answer your looking for

The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

The shaded portion will be conider as the dashed line joining points (-2, -2) and (3, 3).

Anf for the equation x - 1 > 0, x > 1

The shaded portion to the right of the dashed line joining points (1, 5) and (1, -3).

The portion affected by the two shadings would be the portion common to the right of the dashed line joining points (1, 5) and (1, -3) and under the dashed line joining points (-2, -2) and (3, 3).

The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)

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Mia cycled 12 miles over two days.
She cycled 7 miles on one day.
How many miles did she cycle on the other day?

 19 miles?
7 miles?
5 miles?
12 miles?​

Answers

She cycled 5 miles on the second day
5 miles I think because

I will give brainiest to whoever answers correctly !!

Answers

Answer:
(a) the interest is $6384

Hope this helps!

6 cans of soup cost $12. Fill in the correct number over or under each hash mark. How much does one can of soup cost ?

Answers

Answer:

12 / 6 = $2

Step-by-step explanation:

Answer:

they each cost 2 dollors

Step-by-step explanation:

Translate the following words into an expression:

The quotient of "y" and 3

A. Y/3

B. 3/y

C. 3y

D. Y * 3

Answers

A because In math theres different Definitions for each type such as Sum=Addition Quotient= Division.

Therefore A would be your answer

Appreciate if I could get a brainlist :)

how do you find out whether somethings a function or not?​

Answers

Step-by-step explanation:

if you can put a vertical line through it and it only touches the line once it's a function

Answer:

Step-by-step explanation:

can you please help me, I cannot find the answer I'm trying to do my homework so my teacher doesn't get mad at me​

Answers

Answer:

the answer is 9

Step-by-step explanation:

hope i helped :)

Answer:

9

Step-by-step explanation:

3 times 3 is 9

2. A coin is tossed, then a
letter from the word
INDIANAPOLIS is selected at
random. Find each
probability.

Answers

I : 3/12 or 1/4
N : 2/12 or 2/6
D : 1/12
A: 2/12 or 2/6
P: 1/12
O: 1/12
L: 1/12

The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.

Probability for getting head or tell:

P(h) = 1/2

P(t) = 1/2

The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's

Probability for getting letter P:

P(getting letter P) = 1/12

P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24

P(tails) = 1/2

P(getting a vowel) = 6/12 = 1/2

P(tails then a vowel) = (1/2)(1/2) = 1/4

P(tails then N) = (1/2)(2/12) = 1/12

P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6

Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

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Which of the following must be true for the parallelogram shown below?

Answers

Answer:

We conclude that:

Option D i.e. m∠DAB = m∠BCD is correct option.

Step-by-step explanation:

We know that a Parallelogram is a quadrilateral with two pairs of parallel sides.

We also know that the opposite angles of a parallelogram are equal.

Given

m∠DABm∠BCD

From the figure:

It is clear that m∠DAB is the opposite angle of m∠BCD.

Thus,

m∠DAB = m∠BCD  ∵ opposite angles of a parallelogram are equal.

Therefore, we conclude that:

Option D i.e. m∠DAB = m∠BCD is correct option.


The graphs of two lines are shown.
HELPP

Answers

9514 1404 393

Answer:

  A)  y = -3x +7

  B)  y = (7/3)x

Step-by-step explanation:

Maybe you want the equations of the lines.

Two points are marked on each graph. These can be used to compute the slope. One of them is the y-intercept, so that can be used in the slope-intercept equation.

A) m = (y2 -y1)/(x2 -x1) = (1 -7)/(2 -0) = -3

  b = 7

So, the equation y = mx+b is ...

  y = -3x +7

__

B) m = (7 -0)/(3 -0) = 7/3

  b = 0

The equation is ...

  y = (7/3)x

Which example does NOT show the commutative property of addition?
a. 4 + x = x + 4
b. ab=ba
c. a + b = b + a
d. 3x + 4y = 4y +3x

Answers

B because it is multiplication while the question is asking for addition. :)
B is you’re answer love !! Good luck

can someone please teach me how to find the value of x ?

Answers

Answer:

The value of x is approximately 13.58

Step-by-step explanation:

Find the area of the parallelogram in square units.

Answers

I think it’s 40
The width is 8
And the length is 5
8 x 5 is 40

I GIVVEV BRAINLILSTTTTTTTTTTTTTTTT

Answers

Answer:

x-2, y+6

Step-by-step explanation:

Count up for Y and count to the left for X

Answer:

(x, y ) → (x - 10, y + 7 )

Step-by-step explanation:

Consider the coordinates of W and W'

W ( 1, - 2 ) and W'(- 9, 5 )

Consider the x- direction from W to W'

1 → - 9 = - 9 - 1 = - 10

Consider the y- direction from W to W'

- 2 → 5 = 5 - (- 2) = 5 + 2 = + 7

Thus the translation rule is

(x, y ) → ( x - 10, y + 7 )

Which three types of transformations result in congruent shapes? Question 8 options: A) Reflection, rotation, translation B) Reflection, translation, dilation C) Reflection, dilation, rotation D) Rotation, dilation, translation

Answers

Answer: A

Step-by-step explanation:

Answer:

A. Reflection, rotation, translation

Step-by-step explanation:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent. Explore and discuss the examples of transformations below with your child. Examples of Transformations.

Roberto has a certain number of songs on his MP3 player.
Each week, he plans to add 4 more songs. After 5 weeks, he
had 40 songs on his MP3 player. Which statement is true?
A. Roberto adds 5 songs on his MP3 player per week.
B. Roberto adds 10 songs on his MP3 player per week.
C. The initial number of songs on Roberto’s MP3 player is 10.
D. The initial number of songs on Roberto’s MP3 player is 20.

Answers

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I’ve done this math I know I am right!

the sum of a group of numbers is the same regardless of the order in which the numbers are arranged​

Answers

Answer:

Commutative property

Answer:

its commutative property

2(5-6f)= 34
I need to find the value of f pls help

Answers

Answer:

f=-2

Step-by-step explanation:

2(5-6f)= 34

(5-6f)= 34/2

5-6f= 17

-6f=17-5

-6f=12

f=12/-6

f=-2

Step-by-step explanation:

2(5-6f)= 34

(2*5)-(2*6f)=24

10-12f=34

-12f=34-10

-12f=24

-f=24/12

-f=2

f=-2

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!

Answers

Answer: y  ≥  − 2

Step-by-step explanation : hope it helps :)

What is 9876÷448+892-24????

Answers

Answer:

99685/ 112

or

890  5/112

Step-by-step explanation:

890 cos I used the calculator

Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.
He takes 5 shots. What is the probability he makes at least 3 shots? (Hint: a tree diagram might be a helpful strategy)

Answers

Answer:

lol brainliest

Step-by-step explanation:

The probability that he makes at least 3 shots is P{E} = 0.15

What is a probability?               Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Given is that Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.

If he takes 5 shots, than the probability that he makes at least 3 shots is-

P{E} = 5 x 0.05 - 2 x 0.05

P{E} = 0.25 - 0.1

P{E} = 0.15

Therefore, the probability that he makes at least 3 shots is P{E} = 0.15.

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