In response to the question \"Where do you shop most often?\" 35% of the respond

Question

In response to the question "Where do you shop most often?" 35% of the respondents said at discount stores. Assume that this result is
true for the total population of American shoppers. Consider five randomly selected American shoppers.
a) Find the probability that exactly 1 of the 5 shoppers shop at
discount stores most often.
b) Find the probability that at most 2 of the shoppers shop at
discount stores most often.
c) Find the probability that all of the five shoppers do not shop
most often at discount stores.

Explanation / Answer

binomial probability distribution with parameters n = 5, p = .35 , q = .65 here p = .35 because 35% said discount dtores q = 1- p = 0.65 and probability of k successes in n trials being P[k] = nCk *p^k * q^(n-k) a) P[1] = 5C1 * .35^1 * .65 ^4 b) P[

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