According to the American Lung Association, 85% of adult smokers started smoking before turning 21 years old. Twenty smokers 21 years old or older were randomly selected, and the number of smokers who started smoking before 21 is recorded.
(a) State the name of the distribution of the random variable of number of smoker of these 20 who started smoking before age 21 and its two parameters.
(b) Find the
(c) Find the probability that more than 16 of them started smoking before 21 years of age. You may use any features of your calculator.
(d) Find the probability that between 12 and 17 of them, inclusively, started smoking before 21 years of age. You may use any features of your calculator.
(e) Compute and interpret the mean of this random variable.
(f) Compute the standard deviation of this random variable.
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