lecture_4_3 - Probability and inference Random variables...

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    Probability and inference Random variables IPS chapter 4.3 © 2006 W.H. Freeman and Company
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Objectives (IPS chapters 4.3) Random variables Discrete random variables Continuous random variables Normal probability distributions
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Random variables A random variable is a variable whose value is a numerical outcome of a random phenomenon. A basketball player shoots three free throws. We define the random variable X as the number of hits A discrete random variable X has a finite number of possible values. A basketball player shoots three free throws. The number of baskets successfully made is a discrete random variable ( X ). X can only take the values 0, 1, 2, or 3.
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The probability distribution of a discrete random variable X lists the values and their probabilities: The probabilities must add up to 1. A basketball player shoots three free throws. The random variable X is the number of hits. Assume that the probability of a hit or miss in any single throw is 0.5, and that the throws are independent. Value of X 0 1 2 3 Probability 1/8 3/8 3/8 1/8 H - H H HMM HHM MHM HMH MMM MMH MHH HHH
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