The growth of the elderly population in the world was studied in a joint effort by the U.S. Department of Commerce, the Economics and Statistics Administration, and the U.S. Census Bureau in An Aging World: 2001. The following table gives the percentages of elderly in three age groups for North America and Asia in the year 2000.

Determine the following probabilities, and express your answers to three significant digits (three digits following the last leading zero).
a. If three people are chosen at random from North America, what is the probability that all three are 80 years old or older?
b. If three people are chosen at random from Asia, what is the probability that all three are 80 years old or older?
c. If three people are chosen at random from North America, what is the probability that the first person is 65€“74 years old, the second person is 75€“79 years old, and the third person is 80 years old or older?

d. In doing your calculations in parts (a)€“(c), are you assuming sampling with replacement or without replacement? Does it make much difference which of those two types of sampling is used? Explain your answers.

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65-74 80 or older 75-79 North America 3.3% 6.6% 2.7% Asia 4.2% 0.8% 0.8%