**Problem Description:** A popular restaurant near Arches National Park estimates that 92 percent of guests booked in their restaurant actually show up. If the restaurant books 78 guests in the restaurant for which the maximum number is 76, what is the probability that the number of guests who show up will exceed the capacity of the restaurant? *(Enter the entire answer, do not round off.)* **Input Box:** - [Text box for answer entry] **Buttons:** - Add Work - Submit Question **Note:** The task involves calculating a probability using the given percentages and capacities. Note that this requires understanding probability distributions, potentially the binomial distribution, to solve.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Problem Description:**

A popular restaurant near Arches National Park estimates that 92 percent of guests booked in their restaurant actually show up. If the restaurant books 78 guests in the restaurant for which the maximum number is 76, what is the probability that the number of guests who show up will exceed the capacity of the restaurant?

*(Enter the entire answer, do not round off.)*

**Input Box:**

- [Text box for answer entry]

**Buttons:**

- Add Work
- Submit Question

**Note:**

The task involves calculating a probability using the given percentages and capacities. Note that this requires understanding probability distributions, potentially the binomial distribution, to solve.
Transcribed Image Text:**Problem Description:** A popular restaurant near Arches National Park estimates that 92 percent of guests booked in their restaurant actually show up. If the restaurant books 78 guests in the restaurant for which the maximum number is 76, what is the probability that the number of guests who show up will exceed the capacity of the restaurant? *(Enter the entire answer, do not round off.)* **Input Box:** - [Text box for answer entry] **Buttons:** - Add Work - Submit Question **Note:** The task involves calculating a probability using the given percentages and capacities. Note that this requires understanding probability distributions, potentially the binomial distribution, to solve.
Expert Solution
Step 1

Probability that guest booked will show up is

p=0.92

n=78

maximum number of bookings that restaurant can take is 76.

Probability mass function is

P(X=x)=(nx)px(1-p)n-x

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