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?

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:

Therefore, the probability is P=0.018.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is