1. A box of 1000 tickets has an average of 40 and a standard deviation of 10. Two hundred and twenty-five draws will be made at random with replacement from this box. (a) What is the expected value of the average of the draws? (b) What is the standard error of the average of the draws? (c) If it is appropriate to use the normal approximation for the probability histogram of the average of the draws, explain why it is and then find the chance that the average of draws is greater than 41. If it is not appropriate, explain why not