Suppose that you and two friends go to a restaurant, which last month filled approximately 89.1% of the orders correctly. Complete parts (a) through (e) belowWhat is the probability that none of the three orders will be filled correctly?The probability is___. **Probability of Correct Order at Restaurant B****Data:**- Sample size: 3- Probability of an event of interest: 0.879**Parameters:**- Mean: 2.637- Variance: 0.3191- Standard Deviation: 0.5649**Binomial Probabilities Table:**| X | P(X) | P(≤ X) | P(< X) | P(> X) | P(≥ X) ||---|-------|--------|--------|--------|--------|| 0 | 0.0018| 0.0018 | 0.0000 | 0.9983 | 1.0001 || 1 | 0.0386| 0.0404 | 0.0018 | 0.9597 | 0.9983 || 2 | 0.2805| 0.3209 | 0.0404 | 0.6792 | 0.9597 || 3 | 0.6792| 1.0001 | 0.3209 | 0.0000 | 0.6792 |---**Probability of Correct Order at Restaurant C****Data:**- Sample size: 3- Probability of an event of interest: 0.917**Parameters:**- Mean: 2.751---*Explanation of the Table:*The "Binomial Probabilities Table" outlines the probabilities for all possible outcomes (X = 0, 1, 2, 3) for Restaurant B. It includes:- **P(X):** Probability of X successful events.- **P(≤ X):** Cumulative probability of X or fewer successes.- **P(< X):** Cumulative probability of fewer than X successes.- **P(> X):** Probability of more than X successes.- **P(≥ X):** Probability of X or more successes.This information helps in understanding probability distributions in the context of correct order fulfillment at restaurants. ### Restaurant Data Analysis#### Probability of Correct Order at Restaurant CThis data analysis includes important statistical parameters and probabilities related to orders in Restaurant C. The calculations are based on a sample size of 3, with the probability of an event of interest (correct order) being 0.917.**Parameters:**- **Mean:** 2.751- **Variance:** 0.2283- **Standard Deviation:** 0.4778#### Binomial Probabilities TableThe table below presents binomial probabilities for different values of X (number of successes).| X | P(X) | P(≤X) | P(X) | P(≥X) ||---|------|-------|-------|-------|-------|| 0 | 0.0006 | 0.0006 | 0.0000 | 0.9995 | 1.0001 || 1 | 0.0190 | 0.0196 | 0.0006 | 0.9805 | 0.9995 || 2 | 0.2094 | 0.2290 | 0.0196 | 0.7711 | 0.9805 || 3 | 0.7711 | 1.0001 | 0.2290 | 0.0000 | 0.7711 |#### Explanation of Table Columns:- **X:** Number of successful events (correct orders).- **P(X):** Probability exactly X successful events occur.- **P(≤X):** Probability that X or fewer successful events occur.- **P(X):** Probability that more than X successful events occur.- **P(≥X):** Probability that X or more successful events occur.These values provide insight into the likelihood of different scenarios regarding order correctness at the restaurant, facilitating better understanding and decision-making.

Name: Suppose that you and two friends go to a restaurant, which last month
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Suppose that you and two friends go to a restaurant, which last month filled approximately 89.1% of the orders correctly. Complete parts (a) through (e) belowWhat is the probability that none of the three orders will be filled correctly?The proba