If an insurance sales representative has a 0.20 probability of making a sale on every call,...

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If an insurance sales representative has a 0.20 probability of making a sale on every call, what is the probability that he will make at most three sales in six calls? Remark. ( n k Example, n! = k!(n-k)!. 6! (6) = 3 3!(6 - 3)! 3 IM k=3 (9) (c) k (0.8)* (0.2)6* k (0.8)* (0.2) 6-k (9) 6 (0.2)* (0.8)6-* k k=0 k=3 () (0.2)* (0.8)6-* k (9) (0.2) (0.8) 3 for k = 0, 1, 2,..., n. 6! 6 x 5 x 4 3 2 1 = 313! (3 2 1)(3 2 1) 20. If an insurance sales representative has a 0.20 probability of making a sale on every call, what is the probability that he will make at most three sales in six calls? Remark. ( n k Example, n! = k!(n-k)!. 6! (6) = 3 3!(6 - 3)! 3 IM k=3 (9) (c) k (0.8)* (0.2)6* k (0.8)* (0.2) 6-k (9) 6 (0.2)* (0.8)6-* k k=0 k=3 () (0.2)* (0.8)6-* k (9) (0.2) (0.8) 3 for k = 0, 1, 2,..., n. 6! 6 x 5 x 4 3 2 1 = 313! (3 2 1)(3 2 1) 20.