The following table displays a frequency distribution for the number of crew members on each shuttle mission from April 12, 1981 to July 8, 2011. Crew 2 4 5 6 7 8 Frequency 4 3 36 28 63 1 Let C = Crew Size a) How many shuttle missions were there from April 12th, 1981 to July 8, 2011? b) Create a probability distribution for the random variable C C = c P(C = c) 2 4 5 6 7 8 1.0000 Use your probability distribution to find: c) P(C = 6) =
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 following table displays a frequency distribution for the number of crew members on each shuttle mission from April 12, 1981 to July 8, 2011.
| Crew | 2 | 4 | 5 | 6 | 7 | 8 |
| Frequency | 4 | 3 | 36 | 28 | 63 | 1 |
Let C = Crew Size
a) How many shuttle missions were there from April 12th, 1981 to July 8, 2011?
b) Create a probability distribution for the random variable C
| C = c | P(C = c) |
| 2 | |
| 4 | |
| 5 | |
| 6 | |
| 7 | |
| 8 | |
| 1.0000 |
Use your probability distribution to find:
c) P(C = 6) =
d) P(C is at least 4) =
e) P(C is no more than 7) =
f) P (4 ≤ C ≤ 7) =
g) P (2 < C ≤ 5) =
h) What is the expected crew size? E(C) =
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