The foot length of males in a city follow a normal distribution with a population mean of 27 em and a standard deviation of 2.] cm. (E) Find the probability that a randomly selected male from the city has a foot length between 25 cm and (23 + :40) cm. Correct your answer to 4 decimal places. {6 marks) (b) Find the probability that the sample mean of the foot lengths of 20 randomly selected males from the city is longer than (2 IS + 1%) cm. Correct your answer to 4 decimal places. {6 marks) (c) Suppose the 25'\" percentile of the standard normal distribution is 416?. Find the 25'\" percentile of the foot length of males in the city. Correct your answer to 3 decimal places {4 marks) (d) Find the interquartile range of the foot length of males in the city. Correct your answer to 2 decimal places. {4 marks)