Heights of 10 year old children, regardless of sex, closely follow a normal distribution with mean 54.9 inches and standard deviation 5 inches. Round answers to 4 decimal places.

a)
What is the probability that a randomly chosen 10 year old child is less than 52.7 inches?

b) What is the probability that a randomly chosen 10 year old child is more than 61.2 inches?

c) What proportion of 10 year old children are between 52.7 and 56.9 inches tall?

d) 75% of all 10 year old child are less than how many inches​