A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Please round your answer to 3 decimal points. A continuous random variable X has the following PDF: (X - 0 < x < 2 f(x) = otherwise (a) Find the value of k to make f(x) a legitimate probability density function. (b) What is the probability that X is smaller than 1.3? (c) Find the mean of X. (d) Find the variance of X. (e) What is the probability that X is within 0.3 of its mean?
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Transcribed Image Text:Please round your answer to 3 decimal points. A continuous random variable X has the following PDF: (X - 0 < x < 2 f(x) = otherwise (a) Find the value of k to make f(x) a legitimate probability density function. (b) What is the probability that X is smaller than 1.3? (c) Find the mean of X. (d) Find the variance of X. (e) What is the probability that X is within 0.3 of its mean?
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