In a recent survey, 45 percent indicated chocolate was their favorite flavor of

Question

In a recent survey, 45 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of eight people and ask them to name their favorite flavor of ice cream. a. How many of those in the sample would you expect to name chocolate? (Round your answer to the nearest whole number.) Expected number of people b. What is the probability exactly five of those in the sample name chocolate? (Round your answer to 4 decimal places.) Probability c. What is the probability five or more name chocolate? (Round your answer to 4 decimal places.) Probability

Explanation / Answer

p = 0.45

n = 8

P(X = x) = 8Cx * 0.45x * (1 - 0.45)8-x

a) Expected number of people = n * p

                                                  = 8 * 0.45

                                                  = 3.6 or 4 (approx)

b) P(X = 5) = 8C5 * 0.455 * 0.553

                   = 0.1719

c) P(X > 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

                  = 8C5 * 0.455 * 0.553 + 8C6 * 0.456 * 0.552 + 8C7 * 0.457 * 0.551 + 8C8 * 0.458 * 0.550

                  = 0.2604

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