STAT 3100 Study Guide - Final Guide: Random Variable, Moment-Generating Function, Joint Probability Distribution

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Assume for the purposes of this exam that i have given you all necessary pmfs and pdfs, and necessary moment generating functions. (i do not expect you to memorize all of the moment functions. I may ask you to derive one, so you need to know what it is, and how to derive it for the common distributions. : (3 parts worth 2 marks each) P (a) = 0. 44, p (b) = 0. 29, p (c) = 0. 31. , n. using whatever means you feel appropriate, derive i=1 aixi. Include the parameters of the distribution, and the support of the density function. (assume that you have been given the moment generating function of the normal distribution. : suppose x exp( ). Using the cumulative distribution function technique, derive the distribu- Make sure you include what range of values y can take on (i. e. the support tion of y = of fy (y)): suppose x u nif (0, 1).