Suppose that you and two friends go to arestaurant, which last month filled approximately 88.7% of the orders correctly. Complete parts(a) through(e) below.

Probability of Correct Order at Restaurant B

Data
Sample size	3
Probability of an event of interest	0.852

Parameters
Mean	2.556
Variance	0.3783
Standard Deviation	0.6151

Binomial Probabilities Table

X	(X)	P(X)	P(	P(>X)	P(X)
0	0.0032	0.0032	0.0000	0.9968	1.0000
1	0.0560	0.0592	0.0032	0.9408	0.9968
2	0.3223	0.3815	0.0592	0.6185	0.9408
3	0.6185	1.0000	0.3815	0.0000	0.6185

Probability of Correct Order at Restaurant C

Data
Sample size	3
Probability of an event of interest	0.927

Parameters
Mean	2.781
Variance	0.2030
Standard Deviation	0.4506

Binomial Probabilities Table

X	P(X)	P(X)	P(	P(>X)	P(X)
0	0.0004	0.0004	0.0000	0.9996	1.0000
1	0.0148	0.0152	0.0004	0.9848	0.9996
2	0.1882	0.2034	0.0152	0.7966	0.9848
3	0.7966	1.0000	0.2034	0.0000	0.7966

Suppose that you and two friends go to arestaurant, which last month filled approximately 88.7% of the orders correctly. Complete parts(a) through(e) below.

(Round to four decimal places as needed.)

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

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

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

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

e. Compare the results of(a) through(d) with those of the two restaurants given in the popup tables.