Question

Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution

Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.) 


x-36-26-15-4
P(X=x)0.320.360.210.11


Mean
Variance
Standard deviation


2 0
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Answer #1

Solution:

Given that,

From the given data,

Mean = - 24.47

Variance =108.31

Std.deviation =10.41Soluhon Given that, -36 | ㆁ-32 |-11:52. 1414. 0.3c | -3.36 -15 -4 Σこ! 72 243.36 44 7.29S 1.7 6 」.00 |-24.47 | 707.09 44 Probability total is aways one lean :. 24.47 vaxiance 707-09-C-24:47) -707.09-538-7809 : 108.309 .. 6 108-3 standard deviakor = 」o. 4072

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