probabilities

Question

Full time Ph.D students receive an average salary of $12,837 per year. If the salaries are
normally distributed with a standard deviation of $1500, find the following probabilities:
a. The student gets more than $14,000.
b. The student gets between $12,000 and $15,000.
c. The student gets less than $13,000.

Answer 1

z = 14000-12837)/1500= about 1163/1500= .775333

area under curve = .43814= 43.814%

similarly find z for 12000, 15000, 13000

and areas under the curve. use z tables