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 equals 9 ​, p equals 0.9 ​, x less than or equals 3

Please show each step fully so I actually understand how to do this in the future.

Answer 1

Solution:

According to binomial probability law, probability of occurrence of exactly x successes in n independent trials is given as follows:

Where, p is probability of success.

We have, n = 9 , p = 0.9 and we want to obtain P(X ≤ 3).

Using binomial probability law we get,

The probability that X is less than or equal to 3 is 0.000064234.

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