assume that a procedure a binomial distribution with a trail repeated n times. u

Question

assume that a procedure a binomial distribution with a trail repeated n times. use the binomial probability formula to find thr probability of x successes given the probability p of success on a single trial n=15 x=12 p=0.75 assume that a procedure a binomial distribution with a trail repeated n times. use the binomial probability formula to find thr probability of x successes given the probability p of success on a single trial n=15 x=12 p=0.75 assume that a procedure a binomial distribution with a trail repeated n times. use the binomial probability formula to find thr probability of x successes given the probability p of success on a single trial n=15 x=12 p=0.75

Explanation / Answer

Here, we have to find P(X=12)

We are given n = 15, p = 0.75

We have to use binomial probability distribution.
P(X = x) = nCx * p^x * q^(n – x)

Where, q = 1 – p = 1 – 0.75 = 0.25

P(X=12) = 15C12*0.75^12*0.25^(15 – 12)

P(X=12) = 455*0.75^12*0.25^3

P(X=12) = 0.225199

Required probability = 0.225199

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