Insurance companies use mortality statistics to determine premiums, pensions, and annuities. In the past ten years, records indicate that a high school student has about a 79% chance of being alive at the retirement age of 65.
(a) in a group of twenty high school students, what is the probability that 14 high school students will be alive at age 65?
(b) in this group, what is the probability that at least 15 will be alive at age 65?
(c) in this group, what is the probability that less than 19 will be alive at age 65?
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