True of False A statistics student made the following statements. If the stateme

Question

True of False A statistics student made the following statements. If the statements is true, state that it is true. If the statement is false, provide your reason. Expected value mcans the long-term average of a variable. Since it is an average value, then it must be always positive. The variance of a discrete random variable X can be negative because a negative variance means that the spread of the distribution is very small. The standard deviation of a discrete random variable can be negative.

Explanation / Answer

a)      False, because the expected value may be positive or negative.

b)      False, because the variance cannot be a negative.

c)       False, because the standard deviation cannot be a negative.

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