SOLUTION: a survey report states that 42% of adults visit their doctor regularly. Suppose that 10 adults are selected at random. a) what is the probability that exactly 9 adults visit the

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Question 857133: a survey report states that 42% of adults visit their doctor regularly. Suppose that 10 adults are selected at random.
a) what is the probability that exactly 9 adults visit their doctor regularly in such group?
b) find the mean and standard deviation for the number of adults that visit their doctor regularly in such group of 10 adults.
c) Is it unusual to have 9 or more adults that visit their doctor regularly in such group of 10 adults? explain

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
A survey report states that 42% of adults visit their doctor regularly. Suppose that 10 adults are selected at random.
a) what is the probability that exactly 9 adults visit their doctor regularly in such group?
probability = %28matrix%282%2C1%2C10%2C9%29%29%280.42%5E9%29%280.58%29 = highlight%280.0024%29
b) find the mean and standard deviation for the number of adults that visit their doctor regularly in such group of 10 adults.
mean = np = 10(0.42) = highlight%284.2%29
standard deviation = sqrt%28npq%29 = sqrt%2810%2A0.42%2A%281-0.42%29%29 = highlight%281.5608%29
c) Is it unusual to have 9 or more adults that visit their doctor regularly in such group of 10 adults? explain
P(X ≥ 9) = %28matrix%282%2C1%2C10%2C9%29%29%280.42%5E9%29%280.58%5E1%29 + %28matrix%282%2C1%2C10%2C10%29%29%280.42%5E10%29%280.58%5E0%29 = highlight%280.0025%29
It is unusual because the probability is less than 0.05.