1 answer

We use those 2informations to do the following questions 0 Restaurant Data Probability of Correct Order...

Question:

0 Restaurant Data Probability of Correct Order at Restaurant B Data Sample size Probability of an event of interest 0.875 Par
Probability of Correct Order at Restaurant C Data Sample size Probability of an event of interest 0.926 Parameters Mean Varia
we use those 2informations to do the following questions
Show Work Suppose that you and two friends go to a restaurant, which last month filed approximately 89.6% of the orders corre
d. What are the mean and standard deviation of the binomial distribution used in (a) through (c)? Interpret these values. The
0 Restaurant Data Probability of Correct Order at Restaurant B Data Sample size Probability of an event of interest 0.875 Parameters Mean 2.625 Variance 0.3281 Standard Deviation 0.5728 Binomial Probabilities Table X P(X) P(X) P[<X) P(X) P(2X) 0 0.0020 00020 0.0000 0.9980 1.0000 1 0.0410 430 0.0020 0.9570 0.9980 2 0.2871 0.3301 0.0430 0.6699 0.9570 3 0.6699 1.0000 0.3301 0.0000 0.6699 Probability of Correct Order at Restaurant C
Probability of Correct Order at Restaurant C Data Sample size Probability of an event of interest 0.926 Parameters Mean Variance Standard Deviation 2.778 0.2056 0.4534 Binomial Probabilities Table X P(X) PSX) P[<X) P(X) P(2X) 0 0.0004 0.0004 0.0000 0.9996 1.0000 1 0.0152 0.0156 0.0004 0.9844 0.9996 2 0.1904 0.2060 0.0156 0.7940 0.9844 3 0.7940 1.0000 0 2060 0.0000 0.7940
Show Work Suppose that you and two friends go to a restaurant, which last month filed approximately 89.6% of the orders correctly. Complete parts (a) through (e) below. Click the icon to view the order-Slling data for two other restaurants 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
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 I (Round to four decimal places as needed) Interpret the mean and standard deviation number of orders On average orders are correctly filled, while there is an approximate variation of from the (Round to four decimal places as needed.) e. Compare the results of (a) through (d) with those of the two restaurants given in the popup table minimum V has a slihtly hiaher nrobability of fillinn nders average maximum

Answers

From the given information,

The required answers are,

a. P(X=3)=0.7193

b. P(X=0)=0.0011

c. P(X>2)=0.9698

d. Mean=2.6680

Sd=0.5287

On average, 2.6680 orders correctly filled, while there is an approximate variation of 0.5287 from average number of orders 3.

Thank you.

.

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