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Chapter 5: Q. 93. (page 347)

Who’s pregnant? According to the Current Population Survey (CPS), 27%

of U.S. females are older than 55. The Centers for Disease Control and Prevention (CDC) report that 6% of all U.S. females are pregnant. Suppose that these results are accurate. If we randomly select a U.S. female, is P(pregnant and over 55) =(0.06)(0.27)=0.0162? Why or why not?

Short Answer

Expert verified

No because events cannot be considered independent events

Step by step solution

01

Given information

Given that,

P( Females older than 55)=27%=0.27
P(U.S females are pregnant)=6%=0.06

P( Over 55 and pregnant )=0.0162

02

Explanation

Females over 55have a very low chance of becoming pregnant, implying that these two events are not mutually exclusive. Because the events are not self-contained. It's not a good idea to use multiplication to figure out the chances of being over 55and pregnant.

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Most popular questions from this chapter

The partially completed table that follows shows the distribution of scores on the2016

AP® Statistics exam.

Suppose we randomly select a student who took this exam. What’s the probability that he

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a.0.249

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Which one of the following is true about the events “Owner has a Chevy” and

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b. These two events are mutually exclusive, but not independent.

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Union and intersection Suppose C and D are two events such that P(C)=0.6, P(D)=0.45, and

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Gender and political party In January2017, 52%of U.S. senators were Republicans and

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