A random right triangle can be constructed in the following manner. Let X be a random angle whose distribution is uniform on (0, 7/2). For each X, construct a triangle as pictured below. Here, Y = height of the random triangle. For a fixed constant d, find the distribution of Y and EY. (d. y) d

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A random right triangle can be constructed in the following manner. Let X be a random
angle whose distribution is uniform on (0, 7/2). For each X, construct a triangle as
pictured below. Here, Y = height of the random triangle. For a fixed constant d, find
the distribution of Y and EY.
(d. y)
d
Transcribed Image Text:A random right triangle can be constructed in the following manner. Let X be a random angle whose distribution is uniform on (0, 7/2). For each X, construct a triangle as pictured below. Here, Y = height of the random triangle. For a fixed constant d, find the distribution of Y and EY. (d. y) d
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