6. Let T be a right triangle with vertices at (0,0), (0,4), and (3,4). We pick a random point in T and let X be its y-component. (a) Show that the cumulative distribution function for X is F(x) = ,...

6. Let T be a right triangle with vertices at (0,0), (0,4), and (3,4). We pick a random<br>point in T and let X be its y-component.<br>(a) Show that the cumulative distribution function for X is F(x) = , for 0<a < 4.<br>(b) Compute the probability density function for X.<br>(c) What is the probability that X is between 1 and 2?<br>

Extracted text: 6. Let T be a right triangle with vertices at (0,0), (0,4), and (3,4). We pick a random point in T and let X be its y-component. (a) Show that the cumulative distribution function for X is F(x) = , for 0

Jun 11, 2022

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6. Let T be a right triangle with vertices at (0,0), (0,4), and (3,4). We pick a random point in T and let X be its y-component. (a) Show that the cumulative distribution function for X is F(x) = ,...

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