Compute the following binomial probabilities directly from t

Compute the following binomial probabilities directly from the formula for b(x; n, p). b(3; 8, 0.25) b(6; 8, 0.55) P(3 X 5) when n = 7 and p = 0.6 P(1 X) when n = 9 and p = 0.1

Solution

a) b(3,8,0.25)

prob = 8C3(0.25)³(0.75)⁵

= 0.2076

b) b(6,8,0.55)

prob = 8C6(0.55)⁶(0.45)²

= 0.1569

c) P(3<=x<=5) in (7,0.6)

= P(X<6) -P(X<3)

= 0.8414-0.0963

= 0.7451

d) P(1<=x) in N=9 and p =0.1

= P(0)+P(1)

= 0.3874+0.3874

= 0.7758