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Chapter 5: Q 69. (page 329)

Sampling senators Refer to Exercise 67. Are events D and F independent? Justify your answer.

Short Answer

Expert verified

Yes, not independent.

Step by step solution

01

Step 1. Given Information

The two-way table shows who lives and who dies among adult passengers. Consider the fact thatD is a democrat, R is a republican, andF is a female.

02

Step 2. Concept Used

P(A/B)=P(AandB)P(B)

The number of favorable outcomes divided by the total number of possible outcomes equals probability. As a result, the following is a definition of conditional probability:

03

Step 3. Calculation

P(D|F)=1317鈮�0.7647

P(D)=60100鈮�0.6

There should be no difference in likelihood because D and F are unrelated.

As a result, they are not self-sufficient.

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