A random right triangle can be constructed as follows. Let X be a random angle whose distribution is uniform (0, T/2) i.e X~ Unif(T/2). For each X, construct a triangle as pictured below. Here Y = height of the random triangle. For a fixed constant base b find (a) the density function of Y. (b) E(Υ )

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[8] 1. A random right triangle can be constructed as follows. Let X be a random angle whose
distribution is uniform (0, T/2) i.e X
below. Here Y = height of the random triangle. For a fixed constant base b find
Unif(T/2). For each X, construct a triangle as pictured
(a) the density function of Y.
(b) E(Y)
ーカー
Transcribed Image Text:[8] 1. A random right triangle can be constructed as follows. Let X be a random angle whose distribution is uniform (0, T/2) i.e X below. Here Y = height of the random triangle. For a fixed constant base b find Unif(T/2). For each X, construct a triangle as pictured (a) the density function of Y. (b) E(Y) ーカー
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