1. Let X be a binomial random variable with n = 20 and p = .3. Page 4 of 7 A. Write the expression for P(X = 6) in terms of the formula (:}p)x (1- P)n-x , then evaluate it using your calculator. (1 point) B. Using probability notation, P(X = x), write out all the probabilities you'd need to add up in order to calculate P(X < 6), and then evaluate it using your calculator. (1 point) C. For part B, why did you choose the upper bound that you did? If you were using the normal approximation could you choose a different upper bound? Why or why not? (1 point) 2. You're taking samples of size 10 from a population of 20 marbles and recording the number of blue marbles in each sample. Why isn't this a binomial situation, and why would it be almost binomial if you did the same experiment with a population of 200 marbles? (2 points) 3. A psychiatrist believes that 80% of all Americans who visit doctors have problems of a psychosomatic nature; that is, they have a physical problem with a psychological cause. She decides to randomly select 25 patients to test