Question 2 HS marksl a) In a pastry shop in a small town, the probability that a customer buys apple tarts is 0.45, the probability they buy an apple pie is 0.69 and the probability that they buy both an apple tart and an apple pie is 0.27. A customer is chosen at random. i. Find the probability that they buy an apple tart or an apple pie. [3] ii. Given that a customer buys an apple pie, what is the probability that they also buy an apple tart? [3] b) The weight of a green forest frog has a normal distribution with mean [50.3 g and a standard deviation of 5g. Find the probability that a randomly selected frog weighs i. Less than 153g [2] ii. Between 150 g and 158 g [3] c) The random variable X is normally distributed such that X~N(,u, 12). It is known that P(X > 32) = 0.0618. nd the value of\". [4]