question 1

The foot length of males in a city follow a normal distribution with a population mean of 27 cm and a standard deviation of 2.1 cm. (a) Find the probability that a randomly selected male from the city has a foot length between 25 cm and (28 +120) 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 (26 + i571 cm. Correct your answer to 4 decimal places. (6 marks) (c) Suppose the 25''1 percentile of the standard normal distribution is -0.67. Find the 25th percentile of the foot length of males in the city. Correct your answer to 3 decimal places. (4 marks) ((1) Find the interquartile range of the foot length of males in the city. Correct your answer to 2 decimal places. (4 marks) Answer this question using the following information: P(0