4. A computer is programmed to take the sum of 400 draws made at random with replacement from the magic box: 4 6 7 8 10

a. What is the value range for the sum of 400 draws (the possible lowest value and the largest value of the sum of 400 draws)?

b. What is the expected value and standard error of the sum of 400 draws?

c. What is the chance that the sum is over 2850? (using the normal approximation)