Question 1 :Let X1, . . . , Xn be be i.i.d. with Bernoulli(p). Derive a left-hand-sided confidence interval for p. Use a pivot quantity that follows Normal distribution. An

approximation or central limit theorem can be applied to get the pivot quantity.

Question 2: Let X be a random variable from ² distribution with p degrees of freedom. What

will be the distribution of cX, c > 0. Also find the mean and variance of cX.