Lecture17Sept08 - Random Variables Sept 19 Sample Spaces...

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Random Variables Sept. 19
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Sample Spaces and Outcomes Roll 2 dice and report the sum. Should we consider the sample space to be the possible rolls or the possible sums? Toss 5 coins and report the number of heads. Should we consider the sample space to be the sequences of heads and tails or the numbers 0 through 5?
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Random Variables A random variable is a function from a sample space to the real numbers. To avoid the case where we just use the numbers as labels, we consider the function to be a random variable only if taking the average makes sense.
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Sample Spaces and Outcomes Roll 2 dice and report the sum. We can consider the sample space to be the possible rolls and observe the random variable f(a,b)=a+b Toss 5 coins and report the number of heads. We can consider the sample space to be the sequences of heads and tails and observe the random variable f(a,b,c,d,e)=#Heads
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Discrete Random Variables A random variable is said to be discrete if it takes on a finite or countable set of values.
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  • Fall '07
  • SENTURK,DAMLA
  • Probability distribution, Probability theory, Discrete probability distribution, Probability mass function

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