Question 2) Suppose you forget to study for an exam. The exam is multiple choice and has one correct answer of 4 possible choices. Suppose that the exam contains 20 questions of which you guess on every one.

a.What is the probability that you get exactly 10 questions correct by guessing?

b.What is the probability that you pass the exam (score 10 or more correct)?

c.What is the probability that you get at most 1 question correct by guessing?

d.What is the probability that you get at least 1 question correct by guessing?

e.What is the expected number of questions that you guess correct?

Question 1) You are given the following probability distribution for the discrete random variable X which represents the future lifetime (in years) of individuals taking a certain medication for treating a deadly virus. x 0 1 2 3 4 P x 0.20 0.25 K 0.15 0.10 a. Find the value of K. b. Find the P(X 3 3). c. Find the mean of the random variable X (the expected future lifetime) Question 2) Suppose you forget to study for an exam. The exam is multiple choice and has one correct answer of 4 possible choices. Suppose that the exam contains 20 questions of which you guess on every one. a. What is the probability that you get exactly 10 questions correct by guessing? b. What is the probability that yOu pass the exam (score 10 or more correct)? c. What is the probability that you get at most 1 question correct by guessing? d. What is the probability that you get at least 1 question correct by guessing? e. What is the expected number of questions that you guess correct