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Chapter 5: Q7 (page 220)

In Exercises 6–10, use the following: Five American Airlines flights are randomly selected, and the table in the margin lists the probabilities for the number that arrive on time (based on data from the Department of Transportation). Assume that five flights are randomly selected.

Find the mean of the number of flights among five that arrive on time.

x

P(x)

0

0+

1

0.006

2

0.051

3

0.205

4

0.409

5

0.328

Short Answer

Expert verified

The mean number of flights that arrive on time is 4.

Step by step solution

01

Given information

The probability distribution for the five American airlines flights.

02

Calculate the mean

Let x represents the number of flights that arrive on time.

The mean for random variable x is computed as,

μ=∑x×Px=0×0.0+1×0.006+2×0.051+...+5×0.328=3.999≈4

Thus, the mean number of flights that arrive on time is 4.0.

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