(a) The rent prices for a studio apartment in Dublin follows anormal distribution with mean 1315€ and standard deviation 147€. Apostdoctoral researcher working at Trinity is looking for a studioapartment. Compute the probability that he finds one within theprice range 900€ - 1200€. (correct to 3 decimal places roundeddown).
(b) consider again rent prices in Dublin. Find the value x forthe price of a studio apartment such that the probability of payingless of x is 0.95. (correct to 3 decimal places rounded down.