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Chapter 6: Q.3.2 (page 373)

A large auto dealership keeps track of sales and leases agreements made during each hour of the day. Let X= the number of cars sold and Y= the number of cars leased during the first hour of business on a randomly selected Friday. Based on previous records, the probability distributions of Xand Yare as follows:

Define D=X-Y.

Compute σDassuming that XandY are independent. Show your work

Short Answer

Expert verified

From the given information, the standard deviation is1.14

Step by step solution

01

Given Information

It is given in the question that,

μχ=1.1,σχ=0.943

μγ=0.7,σγ=0.64

D=χ-γ
02

Step 2: Explanation

The standard deviation can be calculated as:

σD=σX2+σY2=0.9432+0.642=1.2998=1.14

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