Answer to Question #344879 in Statistics and Probability for Akshay

Question

A company has 500 employees, salary of whom is normally distributed with an average of Rs. 40,000/- and standard deviation of 6,000/-. Suppose you pick a random employee from the 500 employees, what are the chances he/she earns less than Rs. 30,000/- ?

Answer 1

$$P(X<30000)=P(Z<\dfrac{30000-40000}{6000})$$

$$\approx P(Z<-1.6667)\approx0.0478$$