Consider a binomial experiement with two trials and with suc

Consider a binomial experiement with two trials and with success prossiblity of p= 0.4. What is the probability of at least one success?

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

P( X < 1) = P(X=0)
= ( 2 0 ) * 0.4^0 * ( 1- 0.4 ) ^2
= 0.36
P( X > = 1 ) = 1 - P( X < 1) = 0.64