Finding Expected Value, Variance, and Standard Deviation In Exercises 13–16, find the expected value, variance, and standard deviation for the given probability distribution.
x  1  2  3  4  5 
P(x) 





To calculate: The expected value, variance and standard deviation of the probability distribution:
Given Information:
The probability distribution:
Formula used:
If a discrete random variable takes the values
Variance of the random variable is defined as,
The standard deviation of the random variable is defined as,
Calculation:
Consider the provided probability distribution.
First use the provided probability distribution and the expected value formula
Thus, the expected value is
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