Suppose that the height of women in Dakar, Senegal is normally distributed with mean 58 inches and standard deviation 5 inches. a) Determine the heights of the tallest 10% of women. b) Determine the...

a) Determine the heights of the tallest 10% of women.

b) Determine the probability of randomly selecting a woman who is shorter than 50 inches.

c) What is the probability of randomly selecting a sample of 25 women who have an average height between 56 and 60 inches?

d) Determine the probability of randomly selecting a woman who is shorter than 60 inches given that she is taller than 54 inches.