Each year a company selects a number of employees for a management training program. On average, 50 percent of those sent complete the program. Out of the 17 people sent, what is the probability that exactly 4 complete the program?

Respuesta :

Answer:

Therefore, the probability is P=0.018.

Step-by-step explanation:

We know that each year a company selects a number of employees for a management training program. On average, 50 percent of those sent complete the program.

We conclude that p=0.5 and q=0.5.

We calculate the probability:

[tex]P=C_4^{17}\cdot p^4\cdot q^{13}\\\\P=\frac{17!}{4!(17-4)!} \cdot 0.5^4\cdot 0.5^{13}\\\\P=0.018[/tex]

Therefore, the probability is P=0.018.