Question

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.

P(X < 4) , n = 8, p = 0.3

Answer 1

SOLUTION

HERE, X IS A RANDOM VARIABLE FROM BINOMIAL DISTRIBUTION

GIVEN, X~BIN( 8, 0.3) ; WHERE NO OF TRIALS(n)=8 AND PROBABILITY OF SUCCESS(p)=0.3

P.M.F OF X IS, f(x) =

P(X<4)= P(X=0)+P(X=1)+P(X=2)+P(X=3)

= + ++

= 0.057648+0.197650+0.296475+0.254122

= 0.805895 ~ 0.8059

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