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Chapter 4: Q6 (page 156)

Finding Complements. In Exercises 5鈥�8, find the indicated complements.

Flights According to the Bureau of Transportation, 80.3% of American Airlines flights arrive on time. What is the probability of randomly selecting an American Airlines flight that does not arrive on time?

Short Answer

Expert verified

The probability of selecting a flight that does not arrive on time is equal to 0.197.

Step by step solution

01

Given information

In a survey, 80.3% of American airlines鈥� flights arrive on time.

02

Define complementary events

Complementary events: Consider A as the event of occurrence in an experiment. Then, A炉denoting the non-occurrence of the same event are complementary events

The sum of probabilities for complementary events is always 1.

PA+PA炉=1

03

Compute the probability for the complement of the given event

Let A be the event of selecting a flight that arrives on time.

Then,A炉 be the event of selecting a flight that does not arrive on time.

The probability values are obtained by dividing the percentages by 100.

The probability of selecting a flight that does not arrive on time is:

PA炉=1-PA=1-80.3100=19.7100=0.197

Therefore, the probability of selecting a flight that does not arrive on time is 0.197.

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惭肠顿辞苍补濒诲鈥檚

Burger King

奥别苍诲测鈥檚

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Order Accurate

329

264

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OrderNotAccurate

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