Discuss the below:
Q1. A process follows the binomial distribution with n = 8 and p = .3. Find P(x > 6)
Q2. It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. The test for this drug is 90% accurate. What is the probability that an athlete who tests positive is actually a user?
Q3. If P(high) = .3, P(low) = .7, P(favorable | high) = .9, and P(unfavorable | low) = .6, then find P(favorable)