Based on the labour force survey data the average number of hours worked by women in paid employment is 32 hours per week with a variance of 16. Let random variable
X be the number of hours worked by women. Assume that X has a normal distributions with
the mean and variance given above. Sketch the distribution and answer the followings:
a) What is the probability that a woman works less than 40 hours per week?
b) What is the probability that a woman works more than 30 hours per week?
c) What is the probability that a woman works between 35 and 40 hours per week?