A box contains 5000 tickets.The average of the values on the tickets is 16,with a standard deviation of 2.We take 400 draws with replacement from the box a) The expected value of the sum of draws is and the standard error is
(b)Use the normal approximation to find the chance that the sum of draws is greater than 6460 and write it as a percentage. Answer: %
c) Using your answer from (b),what is the approximate chance that the average of the draws is greater than 16.15? Answer %
dUsing similar reasoning as in (c,now find the approximate chance that the average of the draws is between 15.8 and 16.2 Answer: %