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According to the 鈥淏ook of Odds,鈥 the probability that a randomly selected U.S. adult usually eats breakfast is 0.61

(a) Explain what probability 0.61 means in this setting.

(b) Why doesn鈥檛 this probability say that if 100 U.S. adults are chosen at random, exactly 61of them usually eat breakfast?

Short Answer

Expert verified

Part (a) A large sample of U.S. adults about 61%eat breakfast.

Part (b) A randomly selected U.S. adult usually eats breakfast is0.61

Step by step solution

01

Part (a) Step 1. Given Information

Breakfast is normally eaten by0.61of a randomly picked adult in the United States.

02

Part (a) Step 2. Concept

The ratio of two positive integers with no common factor is known as odds. If A is the outcome of a sample space, then the odds are in A's favors.

03

Part (a) Step 3. Calculation

If A is the outcome of a sample space, then the odds are in A's favor.

=P(A)P(Ac)

That is P(A):P(Ac)

In this case, the chances likelihood of 0.61means

That is =0.61100100100

=61%

This means that a large sample of U.S. adult about 61% eat breakfast

04

Part (b) Step 1. Calculation

If A is the outcome of a sample space, then the odds are in A's favor.

=P(A)P(Ac)

That is P(A):P(Ac)

The books of odds probability 0.61 means in this setting

That is =0.61100100100

=61%

Although it this expect around 61adults will eat breakfast the exact number will differ from sample to sample.

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