A Department of Transportation report about air travel found that nationwide, 76% of all flights are on time. Base the following questions on 125 randomly selected flights. You may assume the only outcomes are that a flight is either late or is on time. (For all probabilities round to tenth of a percent) a) How many flights would you expect to be late

Question

Angelique Wiggins

Mathematics

26 February, 17:42

A Department of Transportation report about air travel found that nationwide, 76% of all flights are on time. Base the following questions on 125 randomly selected flights. You may assume the only outcomes are that a flight is either late or is on time. (For all probabilities round to tenth of a percent) a) How many flights would you expect to be late

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Markus Bell · Answer 1

30 flights are expected to be late.

Step-by-step explanation:

Consider the provided information.

A Department of Transportation report about air travel found that nationwide, 76% of all flights are on time.

That means 100-76% = 24% of all flights are not on time.

125 randomly selected flights.

We need to find flights would you expect to be late.

Flight expect to be late E (x) = nq

Here n is 125 and the probability of late is 24 or q = 0.24

Thus substitute the respective values in the above formula.

Flight expect to be late E (x) = 125 * 0.24 = 30

Hence, the 30 flights are expected to be late.