ECN 129 Lecture Notes - Poisson Distribution, Bernoulli Distribution, Random Variable
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Due: october 3rd, 3:00pm (in-class: complete exercises 5-16 from ch. 1: refer to question 3 from the rst assignment. Find e(x) and var(x): refer to question 4c from the rst assignment. Find e(x) and var(x): a roulette wheel has the numbers 1 through 36, as well as 0 and 00 (assume each outcome is equally likely). Let x be a random variable which takes on a value of 1 when the outcome is odd, and -1 otherwise. Find e(x) and var(x): the pmf of the bernoulli distribution is given by q(1 x)(1 q)x, x {0, 1} otherwise. Find e(x) and var(x): suppose x is a discrete random variable which can take on the values 1, 2, 3, or 4, each with equal probability. Calculate each of the following: (a) e(6x). (b) e(2 + 3x 2). (c) var(5x). (d) var(x 3): let x and y be independent standard normal random variables.