plz solve these simple probability and stats question , as soon as possible

I will be at your debt

Question 12 (5 Points) Let X1, X2, ..., X625 be i.i.d samples from the following distribution, which has the following probability density function f(x) = 3(1 - x)2, for 0 1. A biased coin with probability of heads as p is tossed to select which class will be used to remove a student. If the outcome is heads, the we use ENGINERD to remove a randomly selected student and if the outcome is tails, then we use ENGl-COOL to remove a randomly selected student. a. Flip the coin and select the appropriate class to remove a student. What is the probability that it is a student taking the class virtually? Given that the removed student is taking the class virtually, what is the probability that they are taking ENGl-COOL? b. Randomly select another student (from the same class you selected in part a) and without replacing the other student. What is the probability that both students are taking the class virtually? What is the probability that both students are taking the class in the same way? Given that we selected two students who are taking the class virtually, what is the probability that they are in ENGI-NERD? 16