Applications 48, A survey showed that a majority of Americans plan on doing thei

Question

Applications 48, A survey showed that a majority of Americans plan on doing their holiday shopping oniline because they don't want to spend money on gas driving from store t websiteOctober 24, 2012). Suppose we have a group of 10 sho holiday shopping online and 3 prefer to do their holiday shopping in stores to do th sample of 3 of these 10 shoppers is selected for a more in-depth study of how theandon has impacted their shopping behavior a. What is the probability that exactly 2 prefer shopping online? h. What is the probability that the majority (either 2 or 3) prefer sho in stores. A shopping online

Explanation / Answer

Let X be the random variable denoting the number of people

out of 3, who prefers shopping online.

Now, the probability of having an online shopper = 7/10 = 0.7.

Thus, X ~ Bin(3, 0.7)

a) Hence, required probability = P(X = 2) = 0.441. (Ans).

b) Required probability = P(X >= 2) = P(X = 2) + P(X = 3)

= 0.784. (Ans).

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