Question

Probability!!

Men and women have masses, in kg, that are normally distributed with means and
standard deviations as shown in the following table.
Mean mass Standard deviation
Men 75 12.5
Women 55 10.5
(a) Two men are chosen at random. Find the probability that one of the men has
mass more than 90 kg, and the other has mass less than 90 kg.
(b) One man and one woman are chosen at random. Find the probability that the
woman’s mass is greater than the man’s.

The safety limit for a elevator in a building is 530 kg.
(c) Six men are chosen at random. Find the probability that their total mass