question_answer 59)

A die is thrown 6 times if ‘getting an odd number’ is a success, what is the probability of (1) 5 successes (ii) at least 5 successes ? (iii) at most 5 successes ? 

Answer:

p = probability of success       probability of failure = 1 ? p             Let x be the number of successes, then x has the binomial distribution with n = 6, p =       P (x = r) = nCr qn-r pr       (i) P(5 successes = P(x = 5)             (ii) P (atleast 5 successes) =       = P (x = 5) +  P (x = 6)                   (iii) P (at most 5 successes)