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handout_4_3_fall11(1) - 4.3 Random Variables random...

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4.3 Random Variables random variable - a variable whose value is a numerical outcome of a random phenomenon toss coin 4 times→ could record outcome as string of heads and tails (HTTH) let X be number of heads→ X =2 ( X is random variable) Discrete random variable A discrete random variable X has a finite number of possible values. The probability distribution of X lists the values and their probabilities: Value of X x 1 x 2 x 3 … x k Probability p 1 p 2 p 3 … p k The probabilities p i must satisfy two requirements: 1. Every probability p i is a number between 0 and 1. 2. p 1 + p 2 + p 3 + …+ p k = 1 Find the probability of any event by adding the probabilities p i of the particular values x i that make up the event. Probability Histogram
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Example #1 A college administration decides to choose an SRS of three students to form an advisory board that represents student opinion. Suppose that 60% of all students oppose candidate Smith for college president and that the opinions of the three students on the board are independent.
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