What is the approximate probability of obtaining a sum between 30 and 40 when rolling 10 fair dice? Apply the central theorem for finding the approximate probability.
a. Use the normal distribution to find the mean and standard deviation of the sum of the 10 fair die
b. Use the Z-score to find the probability of the sum being between 30 and 40
c. Use the standard normal distribution table to find the approximate probability
d. Use the binomial distribution to find the probability of the sum being between 30 and 40