Solution Found!
Answer: Let X denote the number of Canon digital cameras
Chapter 5, Problem 4.142(choose chapter or problem)
Let X denote the number of Canon digital cameras sold during a particular week by a certain store. The pmf of X is x | 01 2 3 4 pX(x) | .1 .2 .3 .25 .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. a. What is P(X 4, Y 2)? [Hint: This probability equals P(Y 2X 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.] b. Calculate P(X Y). c. Determine the joint pmf of X and Y and then the marginal pmf of Y.
Questions & Answers
QUESTION:
Let X denote the number of Canon digital cameras sold during a particular week by a certain store. The pmf of X is x | 01 2 3 4 pX(x) | .1 .2 .3 .25 .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. a. What is P(X 4, Y 2)? [Hint: This probability equals P(Y 2X 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.] b. Calculate P(X Y). c. Determine the joint pmf of X and Y and then the marginal pmf of Y.
ANSWER:Problem 4.142
Let X denote the number of Canon digital cameras sold during a particular week by a certain store. The pmf of X is
x | 0 1 2 3 4
pX(x) | .1 .2 .3 .25 .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.
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.]
b. Calculate P(X = Y).
c. Determine the joint pmf of X and Y and then the marginal pmf of Y.
Step by Step Solution
Step 1 of 4
Given,
Also Y given X ( the number of purchasers X that buy an extended warranty) has binomial distribution with
