Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is 0 1 2 4 Px(x) 0.1 0.2 0.3 0.15 Sixty 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. USE SALT (a) What is P(X= 4, Y = 2)? [Hint: This probability equals PCY= 2|X = 4) - P(X = 4); now think of the four purchases as four trials of a binomial experiment, with success on a trial corresponding to buying an extended warranty.] (Round your answer to four decimal places.) P(X= 4, Y = 2) = 0.0518 ✔ 3 0.25 (b) Calculate P(X=Y). (Round your answer to four decimal places.) P(X=Y)= (c) Determine the joint pmf of X and Y. (x)(0.6)*(0.6)*-*- Px(x) (x)(0.6)*(0.6)*-*-PX(X) O (*)(0.6)*(0.4)*-*- P(x) O (*)(0.6) (0.4)*-*- P(x) Determine the marginal pmf of Y. (Round your answers to four decimal places.) 0 2 y Py(y) 4
Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is 0 1 2 4 Px(x) 0.1 0.2 0.3 0.15 Sixty 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. USE SALT (a) What is P(X= 4, Y = 2)? [Hint: This probability equals PCY= 2|X = 4) - P(X = 4); now think of the four purchases as four trials of a binomial experiment, with success on a trial corresponding to buying an extended warranty.] (Round your answer to four decimal places.) P(X= 4, Y = 2) = 0.0518 ✔ 3 0.25 (b) Calculate P(X=Y). (Round your answer to four decimal places.) P(X=Y)= (c) Determine the joint pmf of X and Y. (x)(0.6)*(0.6)*-*- Px(x) (x)(0.6)*(0.6)*-*-PX(X) O (*)(0.6)*(0.4)*-*- P(x) O (*)(0.6) (0.4)*-*- P(x) Determine the marginal pmf of Y. (Round your answers to four decimal places.) 0 2 y Py(y) 4
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Please help with b and c
![Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is
0
1
2
3
Px(x) 0.1 0.2 0.3 0.25
Sixty 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.
USE SALT
x
(a) What is P(X= 4, Y = 2)? [Hint: This probability equals P(Y= 2|X = 4) - P(X = 4); now think of the four purchases as four trials of a binomial experiment, with success on a trial corresponding to buying an
extended warranty.] (Round your answer to four decimal places.)
P(X= 4, Y = 2) = 0.0518
✔
4
0.15
(b) Calculate P(X=Y). (Round your answer to four decimal places.)
P(X=Y)=
(c) Determine the joint pmf of X and Y.
(x)(0.6)*(0.6)*-*- Px(x)
(x)(0.6) (0.6)*-*- P(x)
O (*)(0.6)*(0.4)*P(x)
O (*)(0.6)*(0.4)*-*-PX(X)
Determine the marginal pmf of Y. (Round your answers to four decimal places.)
0
2
Y
Py(y)
D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64ce7d18-cbcf-4703-95ed-1652ce5e6107%2Ff5e4f7c4-a439-44d5-a6f0-b607a9b7272c%2F2vlre5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is
0
1
2
3
Px(x) 0.1 0.2 0.3 0.25
Sixty 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.
USE SALT
x
(a) What is P(X= 4, Y = 2)? [Hint: This probability equals P(Y= 2|X = 4) - P(X = 4); now think of the four purchases as four trials of a binomial experiment, with success on a trial corresponding to buying an
extended warranty.] (Round your answer to four decimal places.)
P(X= 4, Y = 2) = 0.0518
✔
4
0.15
(b) Calculate P(X=Y). (Round your answer to four decimal places.)
P(X=Y)=
(c) Determine the joint pmf of X and Y.
(x)(0.6)*(0.6)*-*- Px(x)
(x)(0.6) (0.6)*-*- P(x)
O (*)(0.6)*(0.4)*P(x)
O (*)(0.6)*(0.4)*-*-PX(X)
Determine the marginal pmf of Y. (Round your answers to four decimal places.)
0
2
Y
Py(y)
D
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