question_answer 1)

An experiment succeeds twice as often as it fails. Find the probability that in the next six Trials, there will be atleast 4 successes. 

Answer:

The probabilities of success and failure and in 2 : 1.             Let  x is the number of successes, then x has the binomial distribution with n = 6,       Required probability = P (x 4)       = P(x = 4) + P(x = 5) + P (x = 6)       = 6C4 q2 p4 + 6C5 q1 p5 + 6C6 q0 p6