SOLUTION: A point is chosen at random from the interior of a right triangle with height 1 and base 1. Let Y denote the distance from the chosen point to the base of the triangle. Find the PD

Question 440040: A point is chosen at random from the interior of a right triangle with height 1 and base 1. Let Y denote the distance from the chosen point to the base of the triangle. Find the PDF and CDF of Y.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let Y = the distance from the chosen point to the base of the triangle.
Then .
This is the cdf of Y.
(Note that since this is a continuous density function, P(Y = y) = 0.)
To get the PDF, get the derivative:
, or , the pdf of Y.

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