.The number of major software failures of an update to the PearOS ranges from 0 to 5 and has the following probability distribution, where p(x) is the probability mass function, and F(x) is the cumulative distribution. x 0 1 2 3 4 5 p(x) .20 a .21 .15 .11 .02 F(x) .20 .51 b .87 .98 1 a. If p is the probability mass function for x, then evaluate a. b. If F is the cumulative distribution function of x, then what is the value of b

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.