Find the variance and standard deviation of the random variable X whose probability distribution is given below :
`{:(x,0,1,2,3),(P(X=x),1/8,3/8,3/8,1/8):}`

Explanation

To find the variance and standard deviation of the random variable \( X \) with the given probability distribution, we will follow these steps:

### Step 1: Calculate the Mean (Expected Value) \( E(X) \)

The mean \( E(X) \) is calculated using the formula:

\[
E(X) = \sum (x_i \cdot P(X = x_i))
...