Computer Science student Doom Kopf uses artificial intelligence to generate randomized operatic arias in any key. He does this by generating many smaller independent fragments of random length X,- and then pasting them together to form a longer piece. Each fragment has mean length 12 seconds and standard deviation 3 seconds and is played with the full support of a bagpipe-kazoo ensemble . To accompany opera diva B.U. Tifal's latest Heavenly Haggis opera, we wish a piece of total length 2:1 X,- greater than 5 minutes(300 seconds) a. How many such segments (n) do we require so that the probability that 221:1 Xi is greater than 300 seconds is at least 0.99? b. After 300 seconds of the aria, B.U. Tifal begins to pine miserably for a lost lover B. lgmac. For reasons of fragile health, she must conclude this pining before 360 second mark or die. What is the probability that the aria generated above will last between 300 and 360 seconds? What result are you using