Run BINOMIAL for n = 5, P = . 70 , and 500 replications. Enter the results below. a. What is the maximum absolute value of the errors? _________________ b. Use the P (x in n) formula for the binomial...

Run BINOMIAL for n = 5, P = . 70 , and 500 replications. Enter the results below.

a. What is the maximum absolute value of the errors? _________________

b. Use the P (x in n) formula for the binomial distribution to prove P(3 in 5) is correct. _________________________________________________________________

c. What is the mean number of successes in the simulation? _________________

d. What is the mean expected number of successes? _________________

e. What is the sample variance? _________________

f. What is the expected variance? _________________

g. Use the probabilities to calculate the expected mean and variance.