a. What is the probability that all three orders will be filled correctly? The probability is 0.7412. (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 0.0909). (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 0.9746 (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 27 (Round to four decimal places as needed.) The standard deviation is 10 5070 (Round to four decimal places as needed.)Suppose that you and two friends go to a restaurant; which last month filled approximately 88% ofthe orders correctly. Complete parts (a) through (d) below. .3 a. What is the probability that all three orders will be filled correctly? The probability is D [Round to four decimal places as needed.)