Answer:
it's already simplified
what do you want me to do? tell me what kind of equation it is?
it's a linear trinomial
Step-by-step explanation:
Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is Fifty-five percent of all customers who purchase these cameras also buy an extended warranty. Let Y denote the number of purchasers during this week who buy an extended warranty.
x 0 1 2 3 4
px(x) 0.1 0.2 0.3 0.25 0.15
Required:
a. What is P(X = 4, Y = 2)?
b. Calculate P(X = Y).
Answer:
Step-by-step explanation:
From the information given:
X represent no of Canon SLR
The pmf is given as:
X 0 1 2 3 4
p(x) 0.1 0.2 0.3 0.25 0.15
p = P(customers that purchase the camera & also purchase an extended waranty.
As a result, the conditional distribution Y provided X approaches a Binomial distribution with n = x and p = 0.55 as the parameter.
[tex]\dfrac{Y}{X}\sim Bin (n = x, p=0.55) y =0.1, ... x \ and \ X = 0,1,2,3,4[/tex]
The condition probabilities Y given X is:
[tex]P (\dfrac{Y=0}{X=0}) = 1 \\ \\ P(\dfrac{Y=0}{X=1} ) = 0.45 and P(\dfrac{Y=1}{X=1}) = 0.55 \\ \\ P(\dfrac{Y=0}{X=2}) = 0.2025 , P(\dfrac{Y=1}{X=2}) = 0.495, P(\dfrac{Y=2}{X=2}) = 0.3025 \\ \\ P(\dfrac{Y=0}{X=3}) =0.091125 , P(\dfrac{Y=1}{X=3} ) =0.334125 , P(\dfrac{Y=2}{X=3}) = 0.408375; \ \ \& \ \ P(\dfrac{Y=3}{X=3}) = 0.166375 \\ \\[/tex]
[tex]P(\dfrac{Y=0}{X=4}) =0.041006 \ , \ P(\dfrac{Y=1}{X=4} ) =0.200475 , \ P(\dfrac{Y=2}{X=3} ) =0.367538 , \\ \\ P(\dfrac{Y=3}{X=4} ) =0.299475 , \ P(\dfrac{Y=4}{X=4} ) =0091506 ,[/tex]
Now, the joint P.D (probability Dist.) of X & Y is expressed as:
[tex]P(\dfrac{Y=y}{X=x} ) = P\dfrac{Y=y\ , \ X=x }{X=x} \\ \\ P(X=x,Y=y) = P(\dfrac{Y=y}{X=x} ) \times P(X=x)[/tex]
The Joint P.D is;
Y Total
0 1 2 3 4
X 0 0.1 0 0 0 0 0.1
1 0.09 0.11 0 0 0 0.2
2 0.06075 0.1485 0.09075 0 0 0.3
3 0.022781 0.083531 0.102094 0.041594 0 0.25
4 0.006151 0.030071 0.055131 0.044921 0.013726 0.15
Total 0.279682 0.372103 0.247974 0.086515 0.013726 1
(a)
P(X=4,Y=2)
From the table above:
P(X=4,Y=2) = 0.055131
(b)
[tex]P(X=Y ) \implies P (X=0,Y=0) + P (X=1,Y=1) +P (X=2,Y=2) +P (X=3,Y=3) +P (X=4,Y=4) \\ \\ = 0.1 +0.11 + 0.09075 + 0.041594 + 0.013726 \\ \\ \mathbf{= 0.35607}[/tex]
A boy collects a total of 316 stamps, stickers and coins altogether. He collects 4 times as many stamps as stickers. There are 46 coins. How many stamps are there?
Answer:
270 i tink it is the answer
184 Answer:
Step-by-step explanation:
4 times as
Find the area of the trapezoid:
28 in.
16 in.
21 in.
Which of the following options has a distance of 12 city blocks? Select three that apply.
Answer:
E
F
D
Step-by-step explanation:
That's what I am sorry if its wrong
Answer:
C, E and F
Step-by-step explanation:
4. A system of equations is shown below.
5x + 2y = - 15
2x-2y= -6
What is the solution to the system of equations?
Answer:
first one is x=-15-2y/5
second one x=y-3
Step-by-step explanation:
I need help please. I need the the discount and selling price. Thank you
A study of the effects of exercise used rats bred to have high or low capacity for exercise. The 8 high-capacity rats had mean blood pressure 89 mm Hg and variance 81 (mm Hg)'; the 8 low-capacity rats had mean blood pressure 105 mm Hg with variance 169 (mm Hg). What is the value of the two-sample t statistic for comparing the two population means
Answer:
T statistic = 0.256
Step-by-step explanation:
Given :
High capacity rats:
nh = 8
Xh = 89
s²h = 81
Low capacity rats :
nl = 8
Xl = 105
s²l = 169
Test statistic :
(Xh - Xl) ÷ Sp(sqrt(1/nh + 1/nl))
Pooled variance (Sp) :
[(nh - 1)s²h + (nl - 1)s²l] ÷ (nh + nl - 2)
[(8 - 1)*81 + (8 - 1)*169] ÷ (8 + 8 - 2)
(7*81 + 7*169) ÷ 14
= 1750 / 14
= 125
Hence,
(89 - 105) ÷ 125(sqrt[1/8 + 1/8)
16 ÷ (125 * 0.5)
16 /62.5
= 0.256
find the measure for the angle of theta
Answer:
A.
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = θ
Side Adjacent to θ = 8
Hypotenuse = 15
Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.
Thus:
Cos θ = Adj/Hyp = 8/15
Cos θ = 0.5333
θ = Cos^{-1}(0.5333)
θ = 57.7713051°
θ = 57.8° (to nearest tenth)
Find the distance between the two points rounding to the nearest tenth (8,7) and (1,-2)
Answer:
11
Step-by-step explanation:
The distance between them can be calculated using Distance Formula , the points here are (8,7) and (1,-2) . Using Distance Formula we have ,
⇒ D = √ [ (x_2 - x_1)² + (y_2 - y_1)² ]
⇒ D = √ [ (8-1)² + (7+2)² ]
⇒ D = √ [ 7² + 9² ]
⇒ D = √ [ 49 + 81 ]
⇒ D = √ 130
⇒ D = 11.401 units
Rounding off we have , 11.401 ≈ 11 units .
Hence the required answer is 11 unitsHelp me pls I’m stuck
Answer: 44
Step-by-step explanation:
<R is an inscribed Angle- so if we follow it's ends to the intercepted Arc we are looking at arc NQ
the intercepted arc is 2 times the measure of the inscribed angle, so arc NQ is 44 (22*2)
<O has the same measure as the arc NQ so angle O is 44
I need help on finding this answer
Answer:
I think Cube
Step-by-step explanation:
best answer gets a brainliest answer it’s due today
Answer:
b
Step-by-step explanation:
I think b is your answer if not I'm so sorry.
Brainliest for correct answer asap
Evaluate (3.68)²26705
55
Answer:
I am sorry I need points I am really sorry
Answer:
Step-by-step explanation:
0.0000368
Do. -1° of Z is
A (1, -1)
B (-1, 1)
C (-3/2, 1)
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
y = 8x
Step-by-step explanation:
Since slope is 8/1 which is equal to 8 and x-intercept is 0.
Put these in slope-intercept equation i.e y = mx + b
Answer:
Y=8x
Step-by-step explanation:
You have to calculate the slope. Delta y over delta x
Work out and simplify where possible 3/5+7/8
Which equation can be used to solve for x in the following diagram
Answer:
c) 5x + 13x = 180
Step-by-step explanation:
c) 5x + 13x = 180
c) 5x + 13x = 180
Robert recently purchased a bond for $1350. The bond has a par value of $1000 and a coupon rate of 4.00%. Based on this
information, you know that Robert's current effective interest rate earned on the bond is
and when the bond matures
he will receive
O 4.00%; $1000.
O 2.96%; nothing.
O 2.96%; $1000.
O 4.00%; $1350.
What is the y-intercept in the graph below?
y
1
Answer:
1
Step-by-step explanation:
y-intercept: the point where the line and the y-axis intersect
Answer:
y-intercept =1
Step-by-step explanation:
The y -intercept of a graph is the point where the graph crosses the y -axis.
Answer choices
10%
30%
25%
No links no links I will report
The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first
number and let b represent the second number. What are the two numbers? Use the table to answer the question.
Numbers
а
b
a+b=39
Check
b-za+6
20
19
39
39
22
24
26
17
15
39
39
13
20 and 19
22 and 17
24 and 15
Answer:
17 and 22 edge 2021
Step-by-step explanation:
During a winter storm, the amount of snowfall was recorded in 5 different locations. All measurements have been rounded to the nearest 1/2 inch. How many times as great is the amount of snow at the location that received the most snow as the location that received the least snow?
Answer:
Most snow- 3 1/2 inch least snow, 1/2 inch
Step-by-step explanation:
20. Find the volume of the hemisphere in terms of pi. Round to the nearest whole number. 5 in 5 in
Answer:
Step-by-step explanation:
Someone come help him out
A box contains 2 blue markers, 5 green markers and 3 yellow markers. What is the probability of drawing a blue marker, replacing it, then drawing a yellow marker?
Write as a fraction in simplest form
Answer: 2/3
Step-by-step explanation 5/15 is the probability of blue marble will get picked but if simple form will be 2/3
If iis raised to an odd power, then it can not simplify to be
0-1
O-1
Oi
O-1 id k maybe
I tried ok have a great day
The value of i³ will be equal to - i. The correct option is D.
What is a complex function?The functions which are having two parts to the numbers one is the real part and the other is the imaginary part. The imaginary part is written with 'i' called 'iota'.
Multiplying is the process of adding a number to itself a certain number of times. It is possible to think about multiplication as a process of repeated addition.
Given that;
i = √ - 1
Simplify the given value as below,
i = √ - 1
i² = - 1
i³ = - 1 × i
i³ = - i
Hence, the value of i³ is,
⇒ i³ = - i
Learn more about the complex numbers visit:
brainly.com/question/10873737
#SPJ7
The complete question is given below.
If i=1, what is the value of 1³?
A -1
B i
C 1
D -i
The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?
Answer: 20 meters
Step-by-step explanation:
A= w l
A= A /w = 600/30 = 20m
L= 20 m
A person invested $420 in an account growing at a rate allowing the money to double
every 10 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $960?
Answer:
t=11.9
Step-by-step explanation:
960=420(2)^t/10
2.28571429=2^t/10
add log to both sides
log(2.28571429)=10 t log(2)
divide by log 2
1.19264508= 10 /t
10(1.19264508)
11.926450779=t
I need the answer please don’t scam with a link
Quadrilateral ABCD has side lengths of 2, 5, 7, and 12. A new quadrilateral is created, using a scale factor of 0.25. Which of the following are side lengths of the new quadrilateral? Choose all that apply: 1.) 1.75 2.) 3 3.) .75 4.) 5 5.) 2.25 6.) 1.25
Answer:
1, 2, and 6
Step-by-step explanation:
5*.25=1.25 7*.25=1.75 12*.25=3