A university found that 20% of its students withdraw without completing the intr

Question

A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course. Cnow Homework Appppihdraw (to 4 decimals) a. Compute the prchahility that 3 or fowar will withdraw (to 4 decimals) Cnow Homework App App b. Compute the probability that exactly 4 will withdraw (to 4 decimals) c. Compute the probability that more than 3 will withdraw (to 4 decimals). d. Compute the expected number of withdrawals Check My Work

Explanation / Answer

(a) n = 20, p = 0.2, q = 0.8

P(x) = nCx p^x q^(n - x)

(a) P(x 2) = P(0) + P(1) + P(2) = 0.2061

(b) P(4) = 0.2182

(c) P(x > 3) = 1 - P(x 3) = 1 - P(0) - P(1) - P(2) - P(3) = 0.5886

(d) = np = 20 * 0.2 = 4

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