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.

Ineed mega george is folding a piece of paper to make an origami figure. each time he folds the paper, the thickness of the paper is doubled. the paper starts out flat, with a thickness of 1 millimeter. a. write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. explain how you came up with your ordered pairs. b. is this relation a function? explain why or why not using the ordered pairs you came up with in part a.

Logan wants to know how many skateboards have defective parts. he inspects 20,000 skateboards and keeps track of the number of defects per board. use his probability distribution table to find the expected value for defects on a skateboard.

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