Question

Question 5 (12 marks) Suppose the body mass index (BMI) of Australian males follows a normal distribution with a mean (µ) of 25 and a standard deviation (σ) of 4. Consider a randomly chosen Australian male. (a) Calculate the probability that his BMI is less than 22. [2 marks] (b) Calculate the probability that his BMI is between 22 and 29. [3 marks] (c) Below which level would we find the lowest 5% of BMI for Australian males? [3 marks] (d) Males with a BMI of 30 or higher are considered as obese. With 12 million males in Australia, calculate the expected number of obese Australian males. [4 marks] Hint: It is useful to draw diagrams to assist with these problems

Answer 1

22-2厂 25 + (4 x _, (o.os .) a 1,2 6 379 no, 스12, oou, ooo x 0.1056 CamScanner