(a) The annual rate of return on investment in “Apple Company Fund” is normally distributed with mean of 20% and a standard deviation of 40%. (10 marks] (i) What is the probability that the annual rate of return on investment in “Apple Company Fund” is between 5% and 50%? (ii) Determine the annual rate of return such that the probability of exceeding it is 0.05. (b) “Facebooked” Social Media Online Platform claims that 65% of the companies who advertise using their online platform have growth in sales revenue within 1 week of the first appearance of the advertisement. What is the probability that among 80 randomly selected companies who advertise on “Facebooked”, at most 47 of them have growth in sales revenue within 1 week of the first appearance of the advertisement? [10 marks]