Two questions from the subject of statistics and probabilities. Send me the solution quickly if possible.

Q1) Determine the value c so that each of the following functions can ? serve as a probability distribution of the discrete random variable X 5 4 f (x) = c( 4 - x J, x = 0,1,2,3 0.005128 O 0.00339 O 0.00215 O 0.008264 O 0.014493 O02) The shelf life. in days, for bottles of a certain prescribed medicine is a random variable having the density function as shown below, Find the probability that a bottle of this medicine will have a shelf life of anywhere * between 40 and 120 days 20000 0