If x is a binomial random variable with n = 20, and p = 0.30, then p (x = 10) = 0.50.

a. True

b. False

Question

Leroy Young

Mathematics

16 January, 14:39

If x is a binomial random variable with n = 20, and p = 0.30, then p (x = 10) = 0.50.

a. True

b. False

+3

Answers (1)

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Baby Doll · Answer 1

In the binomial expansion of (0.30+0.70) ²⁰ the coefficient is ²⁰C₁₀=184756 for x=10 and we have 0.30¹⁰*0.70¹⁰ for the pq values where q=1-p. This comes to about 0.03. So the statement p (x=10) = 0.50 is false, answer b.

If x is a binomial random variable with n = 20, and p = 0.30, then p (x = 10) = 0.50.a. Trueb. False

If x is a binomial random variable with n = 20, and p = 0.30, then p (x = 10) = 0.50.

a. True

b. False