Question

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. ​n=9, p=0.3​, x less than or equals 3. Find the probability of x less than or equals 3 successes is:

Answer 1

X : number of successes

X ~ bin (n,p)

where, n = 9 , p = 0.3, q=(1-p)=(1-0.3) = 0.7

the pmf of the distribution be:-

the probability of x less than or equals 3 successes is:-

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