a. What is the number J in each group that would have to be taken so that the probability of a Type II error for the test of the null hypothesis specified in the common section is 0.01 when E (X) - E(B) = 800, ox = 900, and OB = 600. This part is worth 45 points. b. What is the total number of subjects for this clinical trial? This part is worth 5 points. Question 6 S 2 02 2 X 1 I 6 I III III III III IIIIII III III III III III III III IIIIII IIIIII IIIIII IIIIIIIIIIIIIIIIIIIIIIII IIIIIIIIIIIIIIIIIIII 6. The random variable W is the winnings in one play of a game of chance. It is normally distributed with expected value $5 and standard deviation $200. Let the random variable Sn be Sn = Zi=1 a . What is the probability of winning money in one play of this game of chance? That is, what is Pr{W > 0} ? This part is worth 10 points. b . When n = 100, what is Pr{S1oo