According to an almanac, 60% of adult smokers started smoking before turning 18 years old.
A)Compute the mean and standard deviation of the random variable X, the number of smokers who started smoking before 18 based on a random sample of 200 adults.
B) Interpret the mean.

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03-03-2022
Mathematics

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According to an almanac, 60% of adult smokers started smoking before turning 18 years old.
A)Compute the mean and standard deviation of the random variable X, the number of smokers who started smoking before 18 based on a random sample of 200 adults.
B) Interpret the mean.

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repthebae repthebae · Answer 1 · 2022-03-03T20:48:54-05:00

repthebae repthebae

03-03-2022

A) mean = np
0.6(200) = 120
SD^2= np(1-p)
SD = sqrt(200(0.6)(1-0.6))
SD = 6.928
B) the mean of binomial distribution in this case is the average number of samples you’ll have to take before you achieve a sample of 200 where 60% of smokers who started smoking before 18.

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