Question 1 The following table shows a recent study on the relationship between gender and dancing hobby: Don't Dance Dance TOTALS Male 250 70 320 Female 120 80 200 TOTALS 370 150 520 If a person is randomly selected, what is the probability that the person a) is male, b) is female and dance, c) is male or don't dance? Question 2 (a) The daily number of customers for a shop follows a binomial distribution. From record, 20% of the customers are male. On a particular day, 15 customers were being served. Calculate the i. probability of 3 customers are male ii. probability that at most 2 customers are male, iii. mean number of male customers on that day. (b) A company receives an average of 1 complaint in a month. Find i. the probability that exactly 2 complaints are received in a month, i. the probability that at most 2 complaints in a month, 241