As a measure of intelligence, mice are timed when going through a maze to reach a reward
Chapter 4, Problem 4.15(choose chapter or problem)
As a measure of intelligence, mice are timed when going through a maze to reach a reward of food. The time (in seconds) required for any mouse is a random variable Y with a density function given by f (y) = b y2 , y b, 0, elsewhere, where b is the minimum possible time needed to traverse the maze. a Show that f (y) has the properties of a density function. b Find F(y). c Find P(Y > b + c) for a positive constant c. d If c and d are both positive constants such that d > c, find P(Y > b + d|Y > b + c).
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