Given the following discrete uniform probability distribution, find the expected value and standard deviation of the random variable. Round your final answer to three decimal places, if necessary. Probability Distributionx 0 1 2 3 4 5 6 7 8 9 P(X

--- Expected value

--- Standard deviation

Step-by-step explanation:

Given

Solving (a): Expected value

This is calculated using:

Since they all have the same probability, the formula becomes:

Solving (b): Standard Deviation

First, we calculate the variance using

In (a), we have:

is calculated as:

Since they all have the same probability, the formula becomes:

So, we have:

Using a calculator

So:

The standard deviation is then calculated as:

---- approximated

7/2

(decimal: 3.5)

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step-by-step explanation: