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et 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 4 PX(X) 0.1 0.2 0.3 0.25 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 a extended warranty. LAUSE SALT x (a) What is P(X= 4, Y = 2)? [Hint: This probability equals P(Y=21X= 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)[0.0397 (b) Calculate P(XY). (Round your answer to four decimal places.) P(X=Y)= 0.5088 (c) Determine the joint pmf of X and Y. (*)(0.6) (0.4)*-YPX(X) (*)(0.6)*(0.4)*-- P(x) ((0.6) (0.6)*P(x) (*)(0.6) (0.6)*- P(x) Determine the marginal pmf of Y. (Round your answers to four decimal places.) 0 2 Py(Y) 0.1960 x 0.3246 x 0.2969 X 0.1475 x 0.0360

et 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 4 PX(X) 0.1 0.2 0.3 0.25 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 a extended warranty. LAUSE SALT x (a) What is P(X= 4, Y = 2)? [Hint: This probability equals P(Y=21X= 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)[0.0397 (b) Calculate P(XY). (Round your answer to four decimal places.) P(X=Y)= 0.5088 (c) Determine the joint pmf of X and Y. (*)(0.6) (0.4)*-YPX(X) (*)(0.6)*(0.4)*-- P(x) ((0.6) (0.6)*P(x) (*)(0.6) (0.6)*- P(x) Determine the marginal pmf of Y. (Round your answers to four decimal places.) 0 2 Py(Y) 0.1960 x 0.3246 x 0.2969 X 0.1475 x 0.0360

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 0 1 2 3 4 PX(X) 0.1 0.2 0.3 0.25 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. LAUSE SALT (a) What is P(X= 4, Y = 2)? [Hint: This probability equals P(Y=21X= 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) = 0.0397 (b) Calculate P(X=Y). (Round your answer to four decimal places.) P(XY) 0.5088 (c) Determine the joint pmf of X and Y. (*)(0.6)*(0.4)*-YPX(X) ()(0.6)*(0.4)*--PX(X) (*)(0.6)*(0.6)-YPX(X) (*)(0.6)*(0.6)*-*- P(x) Determine the marginal pmf of Y. (Round your answers to four decimal places.) 0 1 2 Py(Y) 0.1950 x 0.3246 x 0.2969 3 x 0.1475 X 4 0.0360 x
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 4 PX(X) 0.1 0.2 0.3 0.25 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. LAUSE SALT (a) What is P(X= 4, Y = 2)? [Hint: This probability equals P(Y=21X= 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) = 0.0397 (b) Calculate P(X=Y). (Round your answer to four decimal places.) P(XY) 0.5088 (c) Determine the joint pmf of X and Y. (*)(0.6)*(0.4)*-YPX(X) ()(0.6)*(0.4)*--PX(X) (*)(0.6)*(0.6)-YPX(X) (*)(0.6)*(0.6)*-*- P(x) Determine the marginal pmf of Y. (Round your answers to four decimal places.) 0 1 2 Py(Y) 0.1950 x 0.3246 x 0.2969 3 x 0.1475 X 4 0.0360 x
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