# Calculating probabilities regarding seating on an airline.

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Eagle airlines' planes hold only 15 people. Past records indicate that 20% of the people making a reservation do not show up. We will assume that all reservations are independent; that is each reservation is for one person and these reservations are made independent of one another. Suppose that Eagle Air decides to book 18 people for each flight.

1. Determine the Probability that on any given flight, at least on passenger holding a reservation will not have a seat?

2.What is the probability that there will be one or more empty seats for any one flight?

3.Determine the mean and Standard Deviation for this random variable.

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##### Solution Summary

The following shows the process of calculating the probability that seats on an airplane will be available or unavailable. Mean and standard deviation of the variable are provided as well.

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

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