In: Statistics and Probability
1. Suppose your average number of work hours per year has been 2000 hours with a standard deviation of 118 hours. Please graph and calculate the probability you will work between 1900 hours and 2300 hours next year. Hint: Two Zs and be ready to add. Use the “old” Z formula for this problem.
2. Based on the information in Problem #1, please calculate the probability you will work between 2300 and 2500 hours next year. (again please use the “old” Z formula”
Let X denotes the working hour of a randomly selected person.
Assuming
X ~ Normal(2000, 1182)
1. The probability you will work between 1900 hours and 2300 hours next year
2. The probability you will work between 2300 and 2500 hours next year