In a recent survey, 40% indicated chocolate was their favorite flavor of ice cre

Question

In a recent survey, 40% indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of ten 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 2 decimal places.) 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

n = 10, p = 0.4

a) Expected no of people = 0.4 * 10 = 4

b) P(X = x) = nCx * px * (1 - p)n - x

P(X = 5) = 10C5 * (0.4)^5 * (0.6)^5 = 0.20

c) P(X > 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

                 = 10C5 * (0.4)^5 * (0.6)^5 + 10C6 * (0.4)^6 * (0.6)^4 + 10C7 * (0.4)^7 * (0.6)^3 + 10C8 * (0.4)^8 * (0.6)^2 + 10C9 * (0.4)^9 * (0.6)^1 + 10C10 * (0.4)^10 * (0.6)^0 = 0.37

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.