Solution
Given that ,
Using binomial probability formula ,
(a)
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = 1) = (4 C 1) * 0.11 * (0.9)3
P(X = 1) = 0.2916
(b)
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = 3) = (6 C 3) * 0.33 * (0.7)3
P(X = 3) = 0.1852
(c)
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = 1) = (3C 1) * 0.41 * (0.6)2
P(X = 1) = 0.432
(d)
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = 2) = (3 C 2) * 0.152 * (0.85)1
P(X = 2) = 0.0574
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