Please assist

MTN 4:01 PM 0 0 2%

.uLL MTN < Nick QUESTION FOUR 4:01 PM Document.pdf A. An investment omce hos three positions open for individuals with a background in economics. Alice is one of' 'hem and the probability she will be hired is 1/2; Shirley is applyinlt another one and the probability she will be given the job is l" J. and the probability that larry. who is seeking the third position will be hired is 3/4. (i) What is the probability that all three will be hired? (ii) What is thc probability that only one will be hired? (iii) What is the probability that none will be hired? (iv) What is the probability that more than one will be hired? 10 Marks B. Invoices at a particular depot have amounts which follow a normal distribution with a mean of and a standard deviation of GHC8.75. (i) What percentage of invoices will be over GHC120.05? (ii) What percentage of invoices will be below GHC92.75? (iii) What percentage of invoices will be between GHC83.65 and GHC117.60? 9 Marks C. Let Xl, X2 and XJ denote a sequence of independent samples of a random variable X with expected value (mean), g, and variance, o . Suppose Y = Xl + X2 + X, (i) What is the expected Value of Y, E[YI (i i) What is the variance of Y 6 Marks