Answered: Suppose that X ∼ N(0,1). Compute…

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Suppose that X ∼ N(0,1). Compute E[X^2],E[X^3] and E[X^k]. (Hint: integration by parts may be useful)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.2: Integration By Parts

Problem 41E

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Question

Suppose that X ∼ N(0,1). Compute E[X^2],E[X^3] and E[X^k]. (Hint: integration by parts may be useful)

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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