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(Solved): For the random variable X with probability mass function given below, compute Round to two decimal p ...
For the random variable X with probability mass function given below, compute Round to two decimal places. X 4 9 1 P(X=x) 1/6 4/6 1/6 E[√X
![For the random variable \( \mathrm{X} \) with probability mass function given below, compute
\[
E[\sqrt{X}]
\]
Round to two d](https://media.cheggcdn.com/study/ec1/ec12f5b8-9b30-40ea-a84f-5374e58be8a9/image)
For the random variable with probability mass function given below, compute Round to two decimal places.
Expert Answer
To calculate the expected value of the square root of the random variable X, denoted as E[?X], we need to multiply each value of X by its corresponding probability, take the square root of each value, and sum up the results.Given the probability mass function (PMF) for X: