Question

_{5. Three boxes are numbered 1, 2 and 3. For k 1, 2, 3, box k contains k blue marbles and 5 - k red marbles. In a two-step experiment, a box is selected and 2 marbles are drawn from it without replacement. If the probability of selecting box k is proportional to k, then the probability that two marbles drawn have different colours is 6. Two balls are.dropped in such a way that each ball is equally likely to fall into any one of the four holes. Both balls may fall into the same hole. Let X denote the number of unoccupied holes at the end of experiment. Moment generating function of X is 9. Suppose that X and Y are independent random variables. Given that X is normal with mean 2 and variance 1, Y is normal with mean 1 and variance 3. Then P (X > Y)- 10. suppose that a random sample of length of life measurements X1, X2, Xn is to be taken n components whose length of life has exponential distribution with mean λ. It is frequently of interest to estimate R (t) = e-r/λ. For fixed t, the MLE of R (t) is}

Answer 1

Blue aables Poe madelet 2 3 2 4 3 5. 2. 3.4 6-567