hi please help me descriptive statistic. please provide the step calculation, formula and clear writing.

b) A book seller sells a special educational book package that consists of five books per package. A customer can purchase the whole set of five books or each book individually. The probability distribution of Y, the number of books purchase from each package, is given as follow. Y=y m 4 5 P (Y = y) 0.45 0.15 0.15 0.25 i) Given that E(Y) = 2.75, find the values of m. (3 marks) ii) Find the probability that a customer purchase at most four books. (2 marks) iii) Calculate E (Y2 - 2Y + 2). (4 marks)c) Suppose that X is a continuous random variable that represent the customers' waiting time (in minutes) after getting a queue number at post office. The probability density function is given as follows: f() = 1gx54 24 0 elsewhere i) Show that s = 1. (3 marks) ii) Find that the customer's waiting time after getting a queue number at post office is not less than 1.5 minutes. (3 marks) iii) Calculate E(X'). (4 marks) 95 iv) Find the standard deviation of X given that E(X) = 32 (2 marks) v) Find the total variance of X and Y, if the variance of Vis - (2 marks)