Question

Normal Distribution Interns report that when deciding on where to work, career growth, salary and compensation, location and commute, and company culture and values are important factors to them. According to reports by interns to Glassdoor, the mean monthly pay of interns at Intel is $5,988. Suppose that the intern monthly pay is normally distributed, with a standard deviation of $400.

1. Draw a normal distribution

2. What function describes the probability density function of a normal distribution? What describes its cumulative density function?

3. What is the probability that the monthly pay of an intern at Intel is less than $5,900?

4. What is the probability that the monthly pay of an intern at Intel is between $5,700 and $6,100

5. What is the probability that the monthly pay of an intern at Intel is above $6,500?

6. 99% percent of the intern monthly pays are higher than what value?

7. 95% percent of the intern monthly pays are between what two values, symmetrically distributed around the mean?

Answer 1