Sir, i am stuck on this question

c and d

4. (20 marks) Suppose the heights of adult females are normally distributed with mean 159cm and standard deviation 9cm. (a) Find the probability that a randomly selected adult female has a height greater than 160cm. [5 marks] (b) Assume that the adult females whose heights are greater than h cm are defined as tall. If we know the probability of a randomly selected female being tall is 15%, find the value of h. [5 marks] (c) Based on the above part (b), given that a randomly selected adult female is tall, find the probability that she has a height greater than 175cm. [5 marks] (d) Find the probability that the mean height of a random sample of 16 adult females exceeds 155cm. [5 marks]