C1. Let X be a continuous random variable with PDFf(x) = (2-x)²for -1 < x < cand f(x) = 0 otherwise.(a) Explaining your work, find the value of the constant c.(b) What is P(X > 1)?(c) Calculate the expectation of X.(d) Calculate the variance of X.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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Author:Carter

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Chapter10: Statistics

Section10.1: Measures Of Center

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C1. Let X be a continuous random variable with PDF f(x) = (2-x) for -1 ≤x≤c and f(x) = 0 otherwise. (a) Explaining your work, find the value of the constant c. (b) What is P(X > 1)? (c) Calculate the expectation ofX. (d) Calculate the variance of X.