Question

Use the following information. The probability that an airplane flight departs on time is 0.89. The probability that a flight arrives on time is 0.87. The probability that a flight departs and arrives on time is 0.83 Find the probability that a flight departed on time given that it arrives on time.

Name: Problem 39, Chapter 3: Elementary Statistics: Picturing the World
Uploaded: 2020-10-17T11:01:33-08:00
Duration: 1 min 27 s
Channel: Harsh Gadhiya
Description: Use the following information. The probability that an airplane flight departs on time is 0.89. The probability that a flight arrives on time is 0.87. The probability that a flight departs and arrives on time is 0.83 Find the probability that a flight departed on time given that it arrives on time.

   Use the following information.
The probability that an airplane flight departs on time is 0.89.
The probability that a flight arrives on time is 0.87.
The probability that a flight departs and arrives on time is 0.83
Find the probability that a flight departed on time given that it arrives on time.

Elementary Statistics: Picturing the World

Ron Larson, Betsy… 6th Edition

Chapter 3, Problem 39

Instant Answer

Solved by Expert Harsh Gadhiya

10/17/2020

Step 1

The probability that a flight departs on time is denoted as P(B) = 0.89. The probability that a flight arrives on time is denoted as P(A) = 0.87. The probability that a flight departs and arrives on time is denoted as P(A ∩ B) = 0.83. Show more…

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Use the following information. The probability that an airplane flight departs on time is 0.89. The probability that a flight arrives on time is 0.87. The probability that a flight departs and arrives on time is 0.83 Find the probability that a flight departed on time given that it arrives on time.

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Key Concepts

Joint Probability

Joint probability refers to the probability of two events happening at the same time, usually denoted as P(A ? B). It represents the intersection of events and is crucial when using conditional probability formulas, as it acts as the numerator in the ratio that defines conditional probability.

Conditional Probability

Conditional probability is the likelihood of an event occurring given that another event has occurred. It is expressed as P(A|B), where A is the event whose probability is being determined and B is the condition that has already happened. This concept is essential for calculating how probabilities change when additional information is provided.

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