A car dealership sells 0, 1, 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to buy an extended warranty for the car. Let X denote the number of luxury cars sold in a given day, and let Y denote the number of extended warranties sold. Calculate the variance of X. (to nearest hundredth such as 012)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A car dealership sells 0, 1, 2 luxury cars on any
day. When selling a car, the dealer also tries to
persuade the customer to buy an extended
warranty for the car. Let X denote the number
of luxury cars sold in a given day, and let Y
denote the number of extended warranties
sold.
Calculate the variance of X.
(to nearest hundredth, such as 0.12)
Numeric answer
Type your response
P(X = 0, Y = 0) =
P(X = 1, Y = 0)
P(X = 1, Y = 1) =
P(X = 2, Y = 0) =
=
P(X = 2, Y = 1) =
P(X = 2, Y = 2)
=
12
12
13116
Transcribed Image Text:A car dealership sells 0, 1, 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to buy an extended warranty for the car. Let X denote the number of luxury cars sold in a given day, and let Y denote the number of extended warranties sold. Calculate the variance of X. (to nearest hundredth, such as 0.12) Numeric answer Type your response P(X = 0, Y = 0) = P(X = 1, Y = 0) P(X = 1, Y = 1) = P(X = 2, Y = 0) = = P(X = 2, Y = 1) = P(X = 2, Y = 2) = 12 12 13116
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