Let the probability function of the random variable X be defined as f(x)=1/(2(1+∣x∣)²). Draw the graph of the probability function. Calculate the probabilities P {-1 1} and the expected value

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 41E
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Let the probability function of the random variable X be defined as f(x)=1/(2(1+∣x∣)²). Draw the graph of the probability function. Calculate the probabilities P {-1 <X <2}, P {∣X∣> 1} and the expected value.

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