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5 cards from this section. Quick, good the night before a test.
Define raw moment and give an example.
Think about the expected values.
What does variance measure?
Consider how values deviate from the average.
What is the first moment known as?
Think about what the average value represents.
True or False: The second central moment is equal to the variance.
Remember how variance is defined.
Given a random variable X with MGF M_X(t) = e^{(μ + σ^2 t^2)/2}, find the first and second moments.
Remember that the first moment is the first derivative evaluated at t=0.
Calculate the variance from a given MGF, M_X(t) if its derivatives provide moments: M'_X(0) = 2, M''_X(0) = 6.
Use the relationship between variance and moments.
6 more questions in this section. Enroll free to practise them all.
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