2.Suppose that you and two friends go to a restaurant, which last month filled approximately 90.1 % of the orders correctly. Complete parts (a) through (d) below.

a. What is the probability that all three orders will be filled correctly?

The probability is _____________(Round to four decimal places as needed.)

b. What is the probability that none of the three orders will be filled correctly?

The probability is ______________(Round to four decimal places as needed.)

c. What is the probability that at least two of the three orders will be filled correctly?

The probability is ________________(Round to four decimal places as needed.)

d. What are the mean and standard deviation of the binomial distribution used in (a) through (c)? Interpret these values.

The mean is ____________(Round to four decimal places as needed.)

The standard deviation is _____________(Round to four decimal places as needed.)

Interpret the mean and standard deviation. Choose the correct answer below.

A. On average, 0.7314 orders are correctly filled, while there is an approximate variation of 0.9725 from the average number of orders correctly filled.

B. On average, 2.703 orders are correctly filled, while there is an approximate variation of 0.2411 from the average number of orders correctly filled.

C. On average, 2.703 orders are correctly filled, while there is an approximate variation of 0.5173 from the average number of orders correctly filled.

D. On average, 0.5173 orders are correctly filled, while there is an approximate variation of 2.703 from the average number of orders correctly filled.