Stat 243 Lab 4 Normal distribution

STAT 243 Lab 4 Normal distribution

Lab 4

The salaries in a certain population are normally distributed with mean $57,873 and standard deviation $3,427.

1. Find the probability that a person has a salary below $48,000.

2. Find the probability that a person’s salary is between $50,000 and $60,000.

3. Find the probability of seeing a salary over $63,500.

4. Find the 90th percentile of the salaries.

5. Find the 25th percentile of the salaries.

6. Do you think that salaries would follow a symmetric, bell-shaped distribution? In your own words, explain why or why not.

Format all of your answers to 6 decimal places (in order to show that you used Excel, and not the tables).