Based on historical data kept by an airline, the probability distribution for passengers getting bumped off a flight from DC to Boston is given below. Let x = number of individuals bumped off the flight. Answer the questions below. Do your calculations in the columns following Prob(x) x Prob(x) 0 0.8 1 0.09 2 0.06 3 0.04 4 0.006 5 0.004 Is this a valid probability distribution? Justify briefly. What is the expected value of the number of passengers bumped off? What is the standard deviation of number of passengers bumped off?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Based on historical data kept by an airline, the
|
x |
Prob(x) |
|
0 |
0.8 |
|
1 |
0.09 |
|
2 |
0.06 |
|
3 |
0.04 |
|
4 |
0.006 |
|
5 |
0.004 |
- Is this a valid probability distribution? Justify briefly.
- What is the
expected value of the number of passengers bumped off? - What is the standard deviation of number of passengers bumped off?
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