Q1.

In a small scale medical study, 10 participants are independently assigned to control and treatment groups. The probability of being assigned to the treatment group is 0.7 for all participants. Given that at least 6 participants are assigned to the treatment group, what is the probability of having exactly 7 participants in the treatment group? (Hint: the question asks for a conditional probability. You can use R.for quick computation.) A 0.41 B 0.28 C 0.31 D 0.27

Q2.

Event A and B are mutually exclusive. Event A and C are independent. It is known that P(A) = 0.4, P(C) = 0.3, P(B) = 0.2. Which of the following is true? A P(AUC) = 0.58 B P(A| C) = 0.3 C P(B| A = 0.2 D P(ANC B) = 0.12