Calculate the following binomial probability by either using one of the binomial probability tables, software, or a calculator using the formula below. Round your answer to 3 decimal places.
P(x | n, p) =
n! |
(n − x)! x! |
· px · qn − x where q = 1 − p
P(x = 11, n = 13, p = 0.70) =
Solution :
Given that x = 11 , n = 13 , p = 0.70
=> q = 1 - p = 0.30
=> For binomial distribution , P(x) = nCx*p^x*q^(n-x)
=> nCx = n!/((n-x)!*x!)
=> P(x = 11) = 13C11*0.70^11*0.30^2
= 0.1388
= 0.139 (rounded)
Calculate the following binomial probability by either using one of the binomial probability tables, software, or...
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