In the United States, the generation of people born between 1946 and 1964 are known as baby boomers, and the generation of people born between 1981 and 1996 are known as millennials. Currently, 18 percent of the population are baby boomers and 27 percent of the population are millennials. A random sample of 500 people will be selected. Let the random variable B represent the number of baby boomers in the sample, and let the random variable M represent the number of millennials in the sample. By how much will the mean of M exceed the mean of B

Question

Zayden Choi

Mathematics

14 August, 15:57

In the United States, the generation of people born between 1946 and 1964 are known as baby boomers, and the generation of people born between 1981 and 1996 are known as millennials. Currently, 18 percent of the population are baby boomers and 27 percent of the population are millennials. A random sample of 500 people will be selected. Let the random variable B represent the number of baby boomers in the sample, and let the random variable M represent the number of millennials in the sample. By how much will the mean of M exceed the mean of B

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Kathleen Cowan · Answer 1

45

Step-by-step explanation:

B =.18

M =.27

Sample size = 500

B (500) = 500 (.18) = 90

M (500) = 500 (.27) = 135

135 - 90 = 45

The mean of M will exceed the mean of B by 45 people when the sample size is 500.