The length of time a device lasts, X, has probability density function f(x)=2 e^-2 x x>0 0 otherwise. If the gadget lasts more than three days the profit to the manufacturer is 1.00. If the gadget lasts at most three days the profit to the manufacturer is - 2.00. Let Y represent the profit. Find the distribution of Y. | Numerade

a) Let X1, X2, ... be a sequence of iid random variables with a common probability density function: f(x) = 0, x 0 is some constant, the Weak Law of Large Numbers (WLLN) holds for Xn. c) Let X be a symmetric random variable about the origin. Show that the characteristic function Ï•(t) corresponding to X is a real-valued function.

The length of time (in minutes) that a certain person speaks on the telephone is found to be random phenomenon, with a probability function specified by the probability density - Business Mathematics and Statistics | Shaalaa.com

A Complete Guide to Hinge Types and Their Best Uses

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