Question

Suppose that you and two friends go to a​ restaurant, which last month filled approximately

90.9 %90.9%

of the orders correctly. Complete parts​ (a) through​ (d) below

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

A. On​ average, 0.7511 orders are correctly​ filled, while there is an approximate variation of 0.9767 from the average number of orders correctly filled. B. On​ average, 0.4982 orders are correctly​ filled, while there is an approximate variation of 2.727 from the average number of orders correctly filled. C. On​ average, 2.727 orders are correctly​ filled, while there is an approximate variation of 0.4982 from the average number of orders correctly filled. On​ average, 2.727 orders are correctly​ filled, while there is an approximate variation of 0.2256 from the average number of orders correctly filled.

Answer 1

Answer:

p = 0.909

X follows binomial distribution with p = 0.909 and n = 3

mean = n * p = 3 * 0.909

                          = 2.727

standard deviation = sqrt(n * p * (1 - p))

                              = sqrt(3 * 0.909 * (1 - 0.909))

                              = 0.4982

Therefore, the correct option is

C. On​ average, 2.727 orders are correctly​ filled, while there is an approximate variation of 0.4982 from the average number of orders correctly filled