Answer to Question #173733 in Statistics and Probability for Rustom

Question

Solve the problem below.

The average monthly salary for a newly hired teacher in a private school is P18,000. If the hiring salary at this school is normally distributed with a standard deviation of P3,000, what is the probability that a newly hired employee randomly selected from a list receives a monthly salary which is less than P15,000?

Write your solution here:

Answer 1

We have that:

$\mu=18000$

$\sigma=3000$

$P(X<15000)=P(Z<\frac{x-\mu}{\sigma})=P(Z<\frac{15000-18000}{3000})=P(Z<-1)=0.1587$

Answer: the probability that a newly hired employee receives a monthly salary less than P15,000 is 15.87%.