In the exercise, x is a binomial variable with n = 9 and p = 0.3. compute the given probability. check your answer using technology. hint [see example 2.] (round your answer to five decimal places.) p(x = 5)

 The required probability is 0.07351.

Step-by-step explanation:  Given that X is a binomial variable with n = 9 and p = 0.3.

We are given to compute the probability P(X = 5) and round the answer to five decimal places.

We know that

the binomial distribution formula for P(X = r) with n number of trials is given by

According to the given information, we have

n = 9,  p = 0.3   and   q = 1 - p = 1 - 0.3 = 0.7.

Therefore, we get

Rounding to five decimal places, we get

P(X=5) = 0.07351.

Thus, the required probability is 0.07351.