Answer:
0.2006 is the required probability.
Step-by-step explanation:
We are given the following in the question:
A binomial probability experiment is conducted with
[tex]n = 10\\p = 0.6\\x =5[/tex]
We can calculate the probability as:
[tex]P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}[/tex]
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:
[tex]P(x = 5)\\\\= \binom{10}{5}(0.6)^5(1-0.6)^5\\\\= 0.2006[/tex]
0.2006 is the required probability.
