Question 620125: 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 successes on a single trial n=6, x=4, p=0.55, q=0.45
Answer by math-vortex(648)   (Show Source):
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x = random variable = number of successful trials = 4
n = number of trials = 6
P = likelihood of success = 0.55
Q = likelihood of failure = 0.45
nCx = number of combinations of n objects taken x at a time
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Binomial Distribution
b(x; n, P) = nCx * P^x * Q^(n - x)
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b(4; 6, 0.55) = 6C4 * (0.55)^4 * (0.45)^2 = (15)(0.09150625)(0.2025) = 0.27795023
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