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. nequals10​, pequals0.6​, xequals5 Upper P (5 )equals nothing ​(Do not round until the final answer. Then round to four decimal places as​ needed.)

Answer 1

0.2006 is the required probability.

Explanation:

We are given the following in the question:

A binomial probability experiment is conducted with

`n = 10\\p = 0.6\\x =5`

We can calculate the probability as:

`P(X=x) = \binom{n}{x}.p^x.(1-p)^(n-x)`

where n is the total number of observations, x is the number of success, p is the probability of success.

We have to evaluate the following probability:

`P(x = 5)\\\\= \binom{10}{5}(0.6)^5(1-0.6)^5\\\\= 0.2006`

0.2006 is the required probability.