Space Shuttles: 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.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Q#2 Space Shuttles: 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
Find P(X=4); interpret interms of percentages.
Obtain the
Construct a probability histogram for X.
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