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randomvariable - A probability mass function? A cumulative...

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MATH 3355-1: Probability Thursday September 24, 12:10 - 1:30PM, Lockett 276 I. A pair of dice is rolled. A. What is the sample space? B. The sum of the numbers on the two dice is a function from sample space to the integers . Can you graph this function? (We call this function a random variable . We denote it X.) C. Assume the dice are fair. Find the probability of each value of the function in the previous problem, i.e. , find P(X = 2), P(X = 3), etc. . How can you graph this data? (We called the probability mass function .) D. Define F(t) = P(X ≤ t). Graph F. (This is called a distribution function , or cumulative distribution function .) E. A coin is flipped n times. Is there a random variable associated with this experiment?
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Unformatted text preview: A probability mass function? A cumulative distribution function? II. A biased coin lands on heads 60% of the time and on tails 40% of the time. A. If its flipped 3 times, whats the probability of no heads? Of 1 head? Of 2 heads? Of 3 heads? Graph the probability mass function. Graph the distribution function. B. What if its flipped 4 times? C. What if its flipped 100 times? III. A biased coin lands on heads with probability p , and on tails with probability 1-p. If its flipped n times, what the probability of j heads? Is there a random variable here? A probability mass function?...
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This note was uploaded on 11/29/2011 for the course MATH 3355 taught by Professor Britt during the Spring '08 term at LSU.

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