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Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber
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Using a Distribution to Find Probabilities In

Chapter 4, Problem 22E

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QUESTION:

Problem 22E

Using a Distribution to Find Probabilities In Exercise, find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities.

Breaking Up Twenty-nine percent of Americans ages 16 to 21 years old say that they would break up with their boyfriend or girlfriend for $10,000. You randomly select seven 16- to 21-year-olds. Find the probability that the number of 16- to 21-year-olds who say that they would break up with their boyfriend or girlfriend for $10,000 is (a) exactly two, (b) more than three, and (c) between one and four, inclusive.

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QUESTION:

Problem 22E

Using a Distribution to Find Probabilities In Exercise, find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities.

Breaking Up Twenty-nine percent of Americans ages 16 to 21 years old say that they would break up with their boyfriend or girlfriend for $10,000. You randomly select seven 16- to 21-year-olds. Find the probability that the number of 16- to 21-year-olds who say that they would break up with their boyfriend or girlfriend for $10,000 is (a) exactly two, (b) more than three, and (c) between one and four, inclusive.

ANSWER:

Answer

Step 1 of 1

(a)

We are asked to find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution.

Then determine whether the events are unusual.

If convenient, use a table or technology to find the probabilities.

We have given 29% of Americans ages 16 to 21 years old say that they would break up with their boyfriend or girlfriend for $10,000.

You randomly select seven 16 to 21 years old.

We are asked to find the probabilities that the number of 16 to 21 years old who say that they would break up with their boyfriend or girlfriend for $10,000.

  1. Exactly two,
  2. More than three,
  3. Between one and four, inclusive.

The probability distribution would be the binomial distribution since the experiment has

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