SOLUTION: Find the probability of exactly k successes in n repeated Bernoulli trials where the probability of success is p. (Round your answer to six decimal places.) n = 8, k = 2, p = 0.3

Algebra ->  Probability-and-statistics -> SOLUTION: Find the probability of exactly k successes in n repeated Bernoulli trials where the probability of success is p. (Round your answer to six decimal places.) n = 8, k = 2, p = 0.3       Log On


   

Question 1198903: Find the probability of exactly k successes in n repeated Bernoulli trials where the probability of success is p. (Round your answer to six decimal places.)
n = 8, k = 2, p = 0.3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

nCr+%2Aq%5E%28n+-+r%29%2A+p%5Er, where q+=+1+-+p, the probability of failure of the event
n=8
k=2
p=.3
q+=+1+-+p=1-.3=.7
%288C2%29+%2A.7%5E%288+-+2%29%2A+.3%5E2
=28%2A.7%5E6%2A+.3%5E2
=28%2A0.117649%2A+0.09
=0.296475