Minitab help Help with incorrect answers a b c d ThanksSolut

Minitab help. Help with incorrect answers a, b, c, d. Thanks

Solution

Binomial Distribution

PMF of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
Where   
k = number of successes in trials
n = is the number of independent trials
p = probability of success on each trial

a)
P( X = 60 ) = ( 60 60 ) * ( 0.7^60) * ( 1 - 0.7 )^0
= 0.00000000051
b)
P( X < = 30) = P(X=30) + P(X=29) + ...P(X=0)
= 0.0009128502

c)
P( X > = 45 ) = 1 - P( X < 45) = 0.24378409335
d)
P( X < 40) = P(X=39) + P(X=38) +....P(X=0)
= 0.23778327359