Answer :

The mean, variance, and standard deviation are 1, 8,33 and 2.89

How to find the mean, variance, and standard deviation?

The distribution is given as:

[a, b] = [-4, 6]

The mean is calculated as;

Mean = (a + b)/2

So, we have

Mean = (-4 + 6)/2

Evaluate

Mean = 1

The variance is calculated as;

Var = (b - a)^2/12

So, we have

Var = (6 + 4)^2/12

Evaluate

Var  = 8.33

The standard deviation is calculated as;

SD= sqrt(Var)

So, we have

SD = sqrt(8.33)

Evaluate

SD = 2.89

Hence, the mean, variance, and standard deviation are 1, 8,33 and 2.89

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