The National Aeronautics and Space Administration (NASA) compiles data on Space-Shuttle launches and publishes them on its Wed site. The following table displays a frequency distribution for the number of crew members on each shuttle mission April 1981 to July 2000. Crew Size 2 3 4 5 6 7 8 Frequency 4 1 2 36 18 33 2 Let X denote the crew size of randomly selected shuttle mission between April 1981 and July 2000. What are the possible values of the random variable X ? Use random-variable notation to represent the event that the shuttle mission obtained has a crew size of 7. Find P(X=4); interpret interms of percentages.
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.
The National Aeronautics and Space Administration (NASA) compiles data on Space-Shuttle launches and publishes them on its Wed site. The following table displays a frequency distribution for the number of crew members on each shuttle mission April 1981 to July 2000.
|
Crew Size |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
Frequency |
4 |
1 |
2 |
36 |
18 |
33 |
2 |
Let X denote the crew size of randomly selected shuttle mission between April 1981 and July 2000.
- What are the possible values of the random variable X ?
- Use random-variable notation to represent the
event that the shuttle mission obtained has a crew size of 7. - Find P(X=4); interpret interms of percentages.
- Obtain the probability distribution of X.
- Construct a probability histogram for X.
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