2. Sampling Distribution (15 points) We are collecting data from the internet for 49 days. Suppose that the size of collected data (in TB) every day are independent and follows a distribution with probability demet function /(x)=at for ze (1.4) (a) (3 points) Find c such that f(2) is a probability dermity function (b) (5 points) Find the mean and variance of the size of the collected data every day (c) (3 points) What can you say about the distribution of the total data size collected for 60 days? (d) (4 points) What is the probability that the total size collected for 90 days exceeds 100TB