Could you please help me with the following question. A random variable X has the probability density function given by1(3 + x)2, -3 < x≤ 1161f(x)=16(6 - 2x²), −1 < x≤11(3x)² 1 < x≤ 3160elsewhereFind the mean and the standard deviation of the random variable X.

Given that We have to find mean and standard deviation of X :

A random variable X has the probability density function given by 1 (3 + x)², -3 < x≤1 16 1 f(x)=16 (6 - 2x²), -1 < x≤1 (3x)² 1 < x≤3 16 0 elsewhere Find the mean and the standard deviation of the random variable X.

A random variable X has the probability density function given by 1 (3 + x)², -3 < x≤1 16 1 f(x)=16 (6 - 2x²), -1 < x≤1 (3x)² 1 < x≤3 16 0 elsewhere Find the mean and the standard deviation of the random variable X.

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 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...

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Question

Could you please help me with the following question.

A random variable X has the probability density function given by
1
(3 + x)2, -3 < x≤ 1
16
1
f(x)=16
(6 - 2x²), −1 < x≤1
1
(3x)² 1 < x≤ 3
16
0
elsewhere
Find the mean and the standard deviation of the random variable X.

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