SOLUTION: 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 probabil

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Question 1106567: 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=1515​, x=11​, p=0.65

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Binomial probability formula is
:
Probability (P) ( k successes in n trials) = nCk * p^k * (1-p)^(n-k), where nCk is n! / (k! * (n-k)!)
:
for this problem n=1515, x=11, p=0.65, Note that x is k in the above formual
:
P ( 11 successes in 1515 trials) = 1515C11 * (0.65)^11 * (1-0.65)^(1515-11) < 0.000001
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