MY NOTES PRACTICE ANOTHER Alrlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random varlable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Y appears in the accompanying table. 45 46 47 48 49 50 51 52 53 54 55 P(v) 0.05 0.10 0.12 0.14 0.25 0.17 0.06 0.03 0.05 0.01 0.02 Calculate V(Y) and a (Round your variance to four decimal places and your standard deviation to two decimal places.) V(Y) - 0 Oy = Determine the probability that Y is within 1 standard deviation of its mean value.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Analysis of Overbooked Flights

Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable \( Y \) as the number of ticketed passengers who actually show up for the flight. The probability mass function of \( Y \) appears in the accompanying table.

| \( Y \)   | 45   | 46   | 47   | 48   | 49   | 50   | 51   | 52   | 53   | 54   | 55   |
|-----------|------|------|------|------|------|------|------|------|------|------|------|
| \( p(y) \) | 0.05 | 0.10 | 0.12 | 0.14 | 0.25 | 0.17 | 0.06 | 0.03 | 0.05 | 0.01 | 0.02 |

#### Calculations

1. **Variance \( V(Y) \)**: Calculate and round your variance to four decimal places.
   
2. **Standard Deviation \( \sigma_Y \)**: Calculate and round your standard deviation to two decimal places.

#### Probability Determination

Determine the probability that \( Y \) is within 1 standard deviation of its mean value.
Transcribed Image Text:### Analysis of Overbooked Flights Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable \( Y \) as the number of ticketed passengers who actually show up for the flight. The probability mass function of \( Y \) appears in the accompanying table. | \( Y \) | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | |-----------|------|------|------|------|------|------|------|------|------|------|------| | \( p(y) \) | 0.05 | 0.10 | 0.12 | 0.14 | 0.25 | 0.17 | 0.06 | 0.03 | 0.05 | 0.01 | 0.02 | #### Calculations 1. **Variance \( V(Y) \)**: Calculate and round your variance to four decimal places. 2. **Standard Deviation \( \sigma_Y \)**: Calculate and round your standard deviation to two decimal places. #### Probability Determination Determine the probability that \( Y \) is within 1 standard deviation of its mean value.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman