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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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Most popular questions from this chapter

Tall people and basketball players Select an adult at random. Define events T: a person is over 6 feet tall, and B: a person is a professional basketball player. Rank the following probabilities from smallest to largest. Justify your answer.

P(T)P(B)P(T|B)P(B|T)

Government data show that 8% of adults are full-time college students and that 30% of adults are age 55 or older. Since (0.08)(0.30)=0.024, can we conclude that about 2.4% of adults are college students55 or older? Why or why not?

Sampling senators The two-way table below describes the members of the U.S Senate in a recent year. Male Female Democrats 4713 Republicans 364

(a) Who are the individuals? What variables are being measured?

(b) If we select a U.S. senator at random, what鈥檚 the probability that we choose

  • a Democrat?
  • a female?
  • a female Democrat?
  • a female or a Democrat?

IfC is the event that the person chosen has normal cholesterol (below 200 mg/dl), what鈥檚 P(C)?

Who eats breakfast? Refer to Exercise 49.

(a) Construct a Venn diagram that models the chance process using events B: eats breakfast regularly, and M: is male.

(b) Find P(B鈭�M) Interpret this value in context.

(c) Find P(Bc鈭�Mc) Interpret this value in context.
See all solutions

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