Answer Questions 23-29 using the following information. When a rail is inspected, the number of "transverse cracks (TC)" in a single rail is counted. The condition of the rail is a function of this number. In order to estimate the mean number of TCs per rail, it is decided to take data on n identical rails of equal length of m meters. Let X1, X2, ...; Xn be the number of TCs in each of the n rails, and X be the sample mean of these n measurements. Assume that X1, X2, . .., X,, is a simple random sample, and each X, have a right skewed distribution with E(X,) = / and Var(X,) = 3.6, for i = 1, 2, .., n. Further, a rail of length of m meters is considered to be failed if it has at least one TC when inspected. Let Y denote number of rails, out of n, considered to be failed when inspected. Let p = P(X] > 1) and q =1-p. 23. Which of the following is true A. X1 ~ Bernoulli(p) B. E(Y) = P C. Y ~ Binomial(n, p) D. Y ~ N(u, 3.6) E. None of the above