Question 1 [14 marks] a) On ayerage 2.5 faulty reports are made to a company's switchboard per day. i. Name the random 1variable present in this problem and state its distribution. [2] Calculate the probability that ii. FGUR faulty reports will be made on Monday [2] iii. Less than 3 faulty reports in a 5-day work week [4] b) The number of attempts at shooting goals made by a netballer in a tournament can be modelled by a binomial distribution with a probability of success equal to 1135. {i} In a sample of 12 attempts at shooting goals1 calculate the probability that EXACTLY 4 were successful. [4] {ii} Given that the netballer made a total of 120 attempts at shooting goals in a tournament, calculate the expected number of successful shoots. [2]