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Chapter 5: Q 74. (page 330)

Teachers and college degrees Select an adult at random. Define events A: a person has earned a college degree, and T: person鈥檚 career is teaching. Rank the following probabilities from smallest to largest. Justify your answer.

P(A)P(T)P(A|T)P(T|A)

Short Answer

Expert verified

P(T)<P(T/A)<P(A)<P(A/T)

Step by step solution

01

Step 1. Given Information

A: those having a college diploma, andT: people who work as teachers.

The probability given are P(A)P(T)P(A/T)P(T/A)

02

Step 2. Concept Used

For mutually exclusive events, use the addition rule.

03

Step 3. Explanation

Because almost all teachers have a college diploma, P(A/T)has the highest possibility. P(A)is the second highest probability because there are more persons with a college degree than there are instructors and people with a college degree who become teachers. Because there are fewer teachers than people with a college diploma who become teachers, P(T) is the second highest probability.

As a result, from least to largest, the order is: P(T)<P(T/A)<P(A)<P(A/T)

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