Question

For the random variable X with the probability mass function given below, compute E[√X]. Round to two decimal places.

Answer 1

To compute E[√X], follow the steps to calculate the expected value of a discrete random variable and round the result to two decimal places.

Step-by-step explanation:

To compute E[√X] for the random variable X with the given probability mass function, we need to find the expected value of the square root of X. The formula for calculating the expected value of a discrete random variable is E(X) = ΣxP(x), where x represents each possible value of the random variable and P(x) represents the probability of each value.

In this case, the random variable X is not specified, so we cannot determine the exact values and probabilities. However, the steps to calculate E[√X] would be as follows:

1. Square root every possible value of X.
2. Multiply each square root value by its corresponding probability.
3. Sum up all the products to get the expected value of √X.
4. Round the result to two decimal places.