The probability distribution of a random variable X isgiven in the table below:-4-224.1.2.3.1.3P(X = æ)Compute the :Mean:(round to 1 place if necessary)Variance:|(round to 2 places ifnecessary)Standard Deviation :(round to 2places if necessary)

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Description: The probability distribution of a random variable X isgiven in the table below:-4-224.1.2.3.1.3P(X = æ)Compute the :Mean:(round to 1 place if necessary)Variance:|(round to 2 places ifnecessary)Standard Deviation :(round to 2places if necessary)

The probability at different values of x is given in the table of problem. The mean or expected value is, μ=x1Px1+x2Px2+x3Px3+x4Px4+x5Px5 Substitute the values in the above equation. μ=-40.1+-20.2+00.3+20.1+40.3=-0.4-0.4+0+0.2+1.2=0.6 Thus, the mean of the probability distribution is 0.6.The variance is, σ2=x1-μ2Px1+x2-μ2Px2+x3-μ2Px3+x4-μ2Px4+x5-μ2Px5 Substitute the values in the above equation. σ2=-4-0.620.1+-2-0.620.2+0-0.620.3+2-0.620.1+4-0.620.3=0.1-4.62+0.2-2.62+0.3-0.62+0.11.42+0.33.42=2.12+1.35+0.11+0.19+3.47=7.24 Thus, the variance of the probability distribution is 7.24.The standard deviation is, SD=σ2 Substitute the value in the above equation. SD=7.24=2.69 Thus, the standard deviation of the probability distribution is 2.69.

Math

Probability

The probability distribution of a random variable X is given in the table below: -4 -2 4 .1 P(X = =) .2 .3 .1 .3 Compute the : Mean: (round to 1 place if necessary) Variance: |(round to 2 places if necessary) Standard Deviation : (round to 2 places if necessary) 2.

The probability distribution of a random variable X is given in the table below: -4 -2 4 .1 P(X = =) .2 .3 .1 .3 Compute the : Mean: (round to 1 place if necessary) Variance: |(round to 2 places if necessary) Standard Deviation : (round to 2 places if necessary) 2.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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