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Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. n =12, x= 5, p=0.25?

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. n =12, x= 5, p=0.25?

x = random variable = number of successful trials = 4n = number of trials = 6P = likelihood of success = 0.55Q = likelihood of failure = 0.45nCx = number of combinations of n objects taken x at a time.Binomial Distributionb(x; n, P) = nCx * P^x * Q^(n - x).b(4; 6, 0.55) = 6C4 * (0.55)^4 * (0.45)^2 = (15)(0.09150625)(0.2025) = 0.2779502...

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