Question 1: Consider two discrete probability distributions with the same sample space and the same expected...
Question 1: Consider two discrete probability distributions with the same sample space and the same expected value. Are the standard deviations of the two distributions necessarily equal? Explain. (Which of the below is correct)
A) Yes, because both distributions have the same sample space, they will have the same standard deviation as well.
B) Yes, because both distributions have the same expected value, they will have the same standard deviation as well.
C) No, the standard deviations of two different discrete probability distributions are never equal.
D) No, the individual probabilities may differ in a way that produces the same expected value but a different standard deviation.
Homework Answers
No, the individual probabilities may differ in a way that produces the same expected value but a different standard deviation.
Option D is correct.
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