(a) Suppose that the total pre-tax profit of IT companies in region ABC is known to be normal with mean Ksh. 100 million and a standard deviation of Ksh. 80million.Determine (i) The probability that one of these companies has a pre-tax profit of at most 200million. (ii) The probability that one of these companies has a pre-tax profit of at least 70 million. (iii)The number of companies out of 50 that will have a pre-tax of at least 110million.