1. (25 points) True / False Indicate whether each statement below is true or false, and briey explain your answer. You may refer to formulas and denitions covered in Class, or use examples to illustrate your point. Each question is worth 5 points: 3 for True/False and 2 for the justication. (a) Let X be a normal random variable with mean ILL : 0 and and standard deviation 0 : 1. P(X : 0) : 0.5. (b) Let X be a binomial random variable with n : 30 and p : 0.1. The normal approximation can be used adequately to approximate the probabilities as n 2 30. (c) For the normal distribution, the mean is same as the median. (d) Two events A and B are said to be independent if and only if P(A | B) : P(B) or P(B l A) : P(A). (e) If the mean value of a set of data is 83.5 and the median is 72.8, then the distribution is left skewed