Run BINOMIAL for n = 5, P = . 50 , 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 = . 50 , 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. Mean = _________ Variance = __________