There are some CPU chips scrapped by Intel. Each chip is functional with probability p 2 (0; 1) (and malfunctional with probability 1p), independently of other chips. Each functional chip meets the Core i3 standard, Core i5 standard and Core i7 with equal probability 1=3, again, independently of other chips. Now, you purchased 5 such chips. Let E1 be the event that you get at most 2 functional chips. Let E2 be the event that among the 5 chips you purchased, there is at least one i3 chip and there is at leat one i5 chip and there is at least one i7 chip. (a) Compute P(E1).