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Chapter 5: Q 70. (page 329)

Who eats breakfast? Refer to Exercise 68. Are events B and M independent? Justify your answer.

Short Answer

Expert verified

Yes, not independent.

Step by step solution

01

Step 1. Given Information

The two-way table depicts the 595 pupils that responded to a breakfast survey at school. Consider the following scenario: Beats breakfast every day, and M is a man.

02

Step 2. Concept Used

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(B|M)=190320鈮�0.5938

P(B)=300595鈮�0.5042

If the occurrences Band M are independent, they should be identical. As a result, they are not self-sufficient.

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