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Chapter 5: Q6 (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.

Does the table describe a probability distribution?

x

P(x)

0

0+

1

0.006

2

0.051

3

0.205

4

0.409

5

0.328

Short Answer

Expert verified

Yes, the table describe a probability distribution.

Step by step solution

01

Given information

The probability distribution for the five American airlines flights.

02

Identify the requirements for a probability distribution

The requirements are as follows:

1)The variable x is anumerical random variable.

2)The sum of the probabilities is computed as,

∑Px=0+0.006+0.051+...+0.328=0.999

Therefore,the sum of the probabilities is approximately equal to 1 with a round of error as 0.001.

3) Each value of P(x) is between 0 and 1.

Thus, all the requirements are satisfied.

Therefore, the table describes a probability distribution.

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