Chapter 4: Q6 (page 156)

Finding Complements. In Exercises 5–8, 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

Given information

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

Define complementary events

Complementary events: Consider A as the event of occurrence in an experiment. Then, $\bar{A}$ denoting the non-occurrence of the same event are complementary events

The sum of probabilities for complementary events is always 1.

$P (A) + P (\bar{A}) = 1$

Compute the probability for the complement of the given event

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

Then, $\bar{A}$ 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:

$P (\bar{A}) = 1 - P (A) = 1 - \frac{80.3}{100} = \frac{19.7}{100} = 0.197$

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

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	McDonald’s	Burger King	Wendy’s	Taco Bell
Order Accurate	329	264	249	145
OrderNotAccurate	33	54	31	13

Finding Complements. In Exercises 5–8, 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

Step by step solution

Given information

Define complementary events

Compute the probability for the complement of the given event

One App. One Place for Learning.

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Finding Complements. In Exercises 5–8, 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

Step by step solution

Given information

Define complementary events

Compute the probability for the complement of the given event

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Discrete Mathematics

Theoretical and Mathematical Physics

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Finding Complements. In Exercises 5–8, 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?