Find exact probability distribution for sample variance

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Reference no: EM131430699

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)?

Reference no: EM131430699

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