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Chapter 6: Q.2.1 (page 349)

A large auto dealership keeps track of sales made during each hour of the day. Let X=the number of cars sold during the first hour of business on a randomly selected Friday. Based on previous records, the probability distribution of Xis as follows:

Compute and interpret the mean of X.

Short Answer

Expert verified

The mean of Xis 8.128.

Step by step solution

01

Given information

Given in the question that, A large auto dealership keeps track of sales made during each hour of the day. Let X= the number of cars sold during the first hour of business on a randomly selected Friday. Based on previous records, the probability distribution of Xis as follows:

We need to compute the mean of X.

02

Explanation

The probability distribution is following

X
0
1
2
3
4
5
6
7
8
10
P(X)
0.001
0.006
0.007
0.008
0.012
0.02
0.038
0.099
0.319
0.053

The formulas to compute the mean is:

Mean=鈭�x脳P(x)

The mean can be calculated as:

Mean=鈭�x脳P(x)=0(0.001)+1(0.006)+鈥�.+10(0.053)=0+0.006+鈥�..+0.53=8.128

After one minute, an Apgar score of8.128is expected for a randomly picked infant.

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