Marginal density of conditional density
Suppose a point (X,Y) is chosen at random from the disk x^2 + y^2 is less than and equal to 1. Find the a) marginal density of X and b) the conditional density of Y given X = x.
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Future Electronics makes CD Players. Its research department found that the life of the laser beam device is normally distributed, with mean 5000 hours and standard deviation 450 hours.
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Suppose we draw 13 cards out of a deck of 52. What is the expected value of the number of aces we get?
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Samples were collected from two ponds in the Bahamas to compare salinity values (in parts per thousand). Several samples were drawn at each site.
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