Use Bayes' Theorem to Find the Indicated Probability

question 36

Multiple Choice

Use Bayes' theorem to find the indicated probability.
-Shameel has a flight to catch on Monday morning. His father will give him a ride to the airport. If it rains, the traffic will be bad and the probability that he will miss his flight is 0.05. If it doesn't rain, the probability that he
Will miss his flight is 0.02. The probability that it will rain on Monday is 0.30.
Suppose that Shameel misses his flight. What is the probability that it was raining?

• A) 0.517
• B) 0.483
• C) 0.05
• D) 0.30

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Definitions:

Expressive Role

A social role that focuses on emotional, supportive, and nurturing behavior, typically associated with maintaining relationships and the social cohesion of groups.

Immediate Development

pertains to rapid progress or improvement in conditions or capabilities, occurring without significant delay.

Economic Union

refers to an agreement between countries that allows for the free movement of goods, services, and people, and coordinates economic policies.

Socially Approved

Actions or behaviors that are accepted and encouraged by the majority within a society or social group.