Answer:
the probability that exactly 8 complete the program is 0.001025
Explanation:
given information:
60 % of those sent complete the program, p = 0.6
the total of people being sent, n = 27
exactly 8 complete the program, x = 8
to find the probability, we can use the following formula
[tex]P(X=x)=\left[\begin{array}{ccc}n\\x\\\end{array}\right] p^{x} (1-p)^{n-x}[/tex]
[tex]P(X=8)=\left[\begin{array}{ccc}27\\8\\\end{array}\right] 0.6^{8} (1-0.6)^{27-8}[/tex]
[tex]P(X=8)=\left[\begin{array}{ccc}27\\8\\\end{array}\right] 0.6^{8} (0.4)^{19}[/tex]
= 0.001025
