Use the probability distribution for the random variable x to answer the question. x 0 1 2 3 4 p(x) 0.12 0.2 0.2 0.36 0.12 Calculate the population mean, variance, and standard deviation. (Round your standard deviation to three decimal places.)

--- Mean

-- Variance

--- Standard deviation

Step-by-step explanation:

Given

Solving (a): The population mean

This is calculated as:

So, we have:

Solving (b): The population variance

First, calculate:

using:

So, we have:

So, the population variance is:

Solving (c): The population standard deviation

This is calculated as:

step-by-step explanation:

160

step-by-step explanation:

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