Stochastic models computer engineering question

Problem # V (A) The life-time of a perishable product (specified in months) is modeled by a RV, x with a pdf given by p(x)-k(9-x) for 0 x9 and k is a positive constant. Find: (i) Value of k; and, life-time = 0 otherwise ii) expected value of the (B) In using a mission-critical computer operation, the probability of the state: "No software failure" is denoted as p(1); and, the probability of corresponding failure state is indicated as p(0). Suppose p(1) = 0.6 What is the chance of 10 computers will successfully function, if 12 computers are deploved in the mission? (C) A uniformly distributed RV, x is specified within the range, 0 to 100. It is sampled 10 times at equal intervals yielding 10 discrete samples 1. Find the variance of the continuous random variable values calculated in (1) and (2)? If so, why? 2. Estimate the variance of the 10 sampled 3. Is there a difference between the variances (D) If a Poisson distributed RV, x is such that its probability at (x -0) is equal to the probability at: (x-1) plus 3 probability at (x 2). Find the mean of x