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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A stone thrown horizontally from a height of 5.92 m hits the ground at a distance of 13.50 m. Calculate the speed of the stone as it hits the ground. Neglect air resistance.
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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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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