If a binomial distribution applies with a sample size of n = 20, what is the probability of 5 successes if the probability of a success is 0.40?

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Answer 1 · 2017-01-20T11:11:24

The answer is #=0.074647#

The binomial probability is #B(x, n, p)#

#=((n),(x)) * p^x * (1-p)^(n-x)#

#((n),(x))=(n!)/((n-x)!x!)#

Here,

#n=20#

#x=5#

#p=0.4#

Therefore,

#P=((20),(5))*0.4^5*0.6^15#

#P=0.074647#