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Travel and Transportation American Airlines offers limited first-class seating to passengers on a flight from Newark to Los Angeles. The probability distribution for the number of passengers in first class on a randomly selected flight is a random variable, X. The probability distribution for X is given in the table below
X
5
6
7
8
P(x)
0.50
0.30
0.15
0.05
a. Find the variance of X.
b. Suppose two American Airlines cross-country flights are randomly selected. Find the exact probability distribution for the sample variance, S2.
c. Find the mean of S2. How does this compare with your answer in part (a)?
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