08 Jun What rule of probability permits you to obtain any probability for a discrete random variable
Question
1. What rule of probability permits you to obtain any probability for a discrete random variable by simply knowing its probability distribution?
2. Space Shuttles.The National Aeronautics and Space Administration (NASA) compiles data on space-shuttle launches and publishes them on its Web site. The following table displays a frequency distribution for the number of crew members on each shuttle mission from April 1981 to July 2000.
| Crew size | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Frequency | 4 | 1 | 2 | 36 | 18 | 33 | 2 |
Let Xdenote the crew size of a randomly selected shuttle mission between April 1981 and July 2000.
a. What are the possible values of the random variable X?
b. Use random-variable notation to represent the event that the shuttle mission obtained has a crew size of 7.
c. Find P(X= 4); interpret in terms of percentages.
d. Obtain the probability distribution of X.
e. Construct a probability histogram for X.
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