You are taking a trip that involves three separate flights T

You are taking a trip that involves three separate flights. The probability that each flight is on time is 80%. What is the probability that all three flights are on time?

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 = 3 ) = ( 3 3 ) * ( 0.8^3) * ( 1 - 0.8 )^0
= 0.512