II. Solve the following problems. Show your solutions as neatly as you can.

1. In a job fair, 3000 applicants applied for a job. Their mean age was found to be 28 with a standard deviation of 4 years.

a. How many applicants are below 20 years old?

b. How many applicants are above 32 years old?

c. How many applicants have ages between 24 and 32 years old?

d. Find the age such that 75% is below it?

2. The number of cars that pass through Sta. Mesa Highway every weekday resembles a normal distribution with a mean of 8,702 and a standard deviation of 678. On a given weekday, what is the probability that the number of cars that will pass through the highway will be between 7,000 and 8,000 cars?