Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is 1 2 3 4 Px(x) 0.1 0.2 0.3 0.25 0.15 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. In USE SALT (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) = (b) Calculate P(X = Y). (Round your answer to four decimal places.) P(X = Y) = | (c) Determine the joint pmf of X and Y. )co.55)"(0.55)*-Y.px(x) O co.55)*(0.55)*-V .px{x) O ()(0.55)"(0.45)*- - Px) O ()(0.55)*(0.45)*-Y - Pxlx) Determine the marginal pmf of Y. (Round your answers to four decimal places.) y 1 2 3 4 Pyly)
Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is 1 2 3 4 Px(x) 0.1 0.2 0.3 0.25 0.15 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. In USE SALT (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) = (b) Calculate P(X = Y). (Round your answer to four decimal places.) P(X = Y) = | (c) Determine the joint pmf of X and Y. )co.55)"(0.55)*-Y.px(x) O co.55)*(0.55)*-V .px{x) O ()(0.55)"(0.45)*- - Px) O ()(0.55)*(0.45)*-Y - Pxlx) Determine the marginal pmf of Y. (Round your answers to four decimal places.) y 1 2 3 4 Pyly)
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Chapter1: Combinatorial Analysis
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![Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is
1
2
3
4
Px(x)
0.1
0.2
0.3
0.25 0.15
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.
In USE SALT
(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) =
(b) Calculate P(X = Y). (Round your answer to four decimal places.)
P(X = Y) = |
(c) Determine the joint pmf of X and Y.
)co.55)"(0.55)*-Y.px(x)
O co.55)*(0.55)*-V .px{x)
O ()(0.55)"(0.45)*- - Px)
O ()(0.55)*(0.45)*-Y - Pxlx)
Determine the marginal pmf of Y. (Round your answers to four decimal places.)
y
1
2
3
4
Pyly)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8536f70-6afb-49b2-94d8-7d5f9820999c%2F32ee4b4c-4c6c-47d6-85fb-23354b939255%2Fupmo4rw_processed.png&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
1
2
3
4
Px(x)
0.1
0.2
0.3
0.25 0.15
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.
In USE SALT
(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) =
(b) Calculate P(X = Y). (Round your answer to four decimal places.)
P(X = Y) = |
(c) Determine the joint pmf of X and Y.
)co.55)"(0.55)*-Y.px(x)
O co.55)*(0.55)*-V .px{x)
O ()(0.55)"(0.45)*- - Px)
O ()(0.55)*(0.45)*-Y - Pxlx)
Determine the marginal pmf of Y. (Round your answers to four decimal places.)
y
1
2
3
4
Pyly)
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