Binomial Distribution: According to a 2020 article, 69% of men do not wash their hands after using

16 days ago
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Full question:
According to a 2020 article, 69% of men do not wash their hands after using a public restroom. Suppose a random sample of 40 men are selected. Find the following probabilities.
a) Find the probability that in a random sample of 40 men, that exactly 30 will not wash their hands after using a public restroom?
b) Find the probability that in a random sample of 40 men, that between 20 and 25, inclusive, will not wash their hands after using a public restroom?
c) Find the probability that in a random sample of 40 men, that fewer than 35 will not wash their hands after using a public restroom?
d) Find the probability that in a random sample of 40 men, that at least 35 will not wash their hands after using a public restroom?
e) Find the probability that in a random sample of 40 men, that more than 30 will not wash their hands after using a public restroom?

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