The correct answer is Option E, For values of W repeatedly selected at random from the distribution the mean of the selected values will approach 2.8.
The expected value can be found by using the formula ∑x*p(x)
The random variable W can take on the values of 0, 1, 2, 3, or 4. The expected value of W is 2.8.
Expected value (EV) describes the long-term average level of a random variable based on its probability distribution.
The expected value can be found by using the formula ∑x*p(x)
A randomly selected value of W must be equal to 2.8.
This is not true as the expected value is like the average
B The values of W vary by about 2.8 units from the mean of the distribution.
This is not true, as it is not the difference between an observation to its mean.
с The mean of a random sample of values selected from the distribution will be 2.8 It is false
D A value of randomly selected from the distribution will be less than 2.8 units of the mean. This statement is also false
E For values of W repeatedly selected at random from the distribution the mean of the selected values will approach 2.8.
Thus the correct answer is Option E, For values of W repeatedly selected at random from the distribution the mean of the selected values will approach 2.8.
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