In: Statistics and Probability
(a) The rent prices for a studio apartment in Dublin follows a normal distribution with mean 1315€ and standard deviation 147€. A postdoctoral researcher working at Trinity is looking for a studio apartment. Compute the probability that he finds one within the price range 900€ - 1200€. (correct to 3 decimal places rounded down).
(b) consider again rent prices in Dublin. Find the value x for the price of a studio apartment such that the probability of paying less of x is 0.95. (correct to 3 decimal places rounded down.