Question 2 (a)

A marketing student in SUSS conducted a survey on students' preference for iPhone. She collected responses from 600 male and 400 female students. Of which, 400 male students used iPhone and 100 female students used other phones.

(i) Construct a contingency table based on the information given.

(ii) Identify the probability that a randomly selected student is female and uses iPhone.

(iii) Identify the probability that a randomly selected student is male or uses iPhone?

(iv) What is the probability that a randomly selected student uses iPhone given that the student is female?

(b) The weight of a bag of rice is normally distributed with a mean of 5kg and standard deviation of 50g.

(i) If a bag of rice is randomly selected, identify the probability that the weight is between 4,980g and 5,080g.

(ii) If 30 bags were randomly selected, report the probability that the mean weight is greater than 5,020g.