On average 2.5 faulty reports are made to a company’s switchboard per day. i. Name the random variable present in this problem and state its distribution. Calculate the probability that ii. FOUR...

On average 2.5 faulty reports are made to a company’s switchboard per day.
i. Name the random variable present in this problem and state its distribution.
Calculate the probability that
ii. FOUR faulty reports will be made on Monday
iii. Less than 3 faulty reports in a 5-day work week
b) The number of attempts at shooting goals made by a netballer in a tournament can bemodelled by a binomial distribution with a probability of success equal to 0.35.
(i) In a sample of 12 attempts at shooting goals, calculate the probability that EXACTLY 4 were successful.
(ii) Given that the netballer made a total of 120 attempts at shooting goals in a tournament,calculate the expected number of successful shoots.