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The Multiplication Rule and Conditional Probability By
Chapter 3, Problem 40EC(choose chapter or problem)
By rewriting the formula for the Multiplication Rule, you can write a formula for finding conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is
\(P(B|A)=\frac{P(A\ and\ B)}{P(A)}\).
In Exercises 39 and 40, 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 arrives on time given that it departed on time.
Equation Transcription:
Text Transcription:
P(B|A)=frac{P(A and B)}{P(A)}
Questions & Answers
QUESTION:
By rewriting the formula for the Multiplication Rule, you can write a formula for finding conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is
\(P(B|A)=\frac{P(A\ and\ B)}{P(A)}\).
In Exercises 39 and 40, 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 arrives on time given that it departed on time.
Equation Transcription:
Text Transcription:
P(B|A)=frac{P(A and B)}{P(A)}
ANSWER:
Solution
Step 1 of 1
We have to find the probability that a flight arrives on time given that it departed on time
Let A be the event that the flight departed on time
Given that the probability that the flight departed on time is 0.89
Then