P3 60% of Finns are \"young\" (less than 50 years) and the rest are \"old\". 35% of the young and 85% of the old use eyeglasses. From the population we take a random sample of 100 persons with replacement. The random variable X,- is 1 if the ith person in the sample is old, otherwise 0. The random variable E; is 1 if the ith person uses eyeglasses, otherwise 0. Furthermore X is the number of old people in the sample and Y is the number of people using eyeglasses in the sample. (a) Calculate IE(X1) and ]E(X). (1p) (b) Calculate IE(Y1) and ]E(Y). (2p) ((2) Calculate Cov(X1?Y1). (1p) (d) Calculate Cov(X1?Y3). (1p) (9) Calculate Cov(X,Y). (1p)