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The probability density function (pdf) of X is given by
f(x) = (1-x/2 if 0 ≤ x < 2
(0 otherwise
a. Verify that that f(x) is a legitimate pdf.
b. Sketch the graph of the pdf function
c. Find the distribution function of X and sketch the graph.
d) Compute P(1 e) Find the expected value and the variance of X
e) Find the expected value and the variance of X
A gambling machines works in the following way. The player inserts a penny into 1 of 5 slots which are colored Blue, Red, Orange, Yellow & Green corresponding to 5 colored light bu
1
Test the null at 1? significance level
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