Problem #3: Let Z-N(0, 1) and X-N(-2,9). (a) Calculate E[Z¹]. (b) Calculate E[X] (hint: try expressing X as a function of Z, and note E[Z"] = 0 whenever n is odd)

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.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
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Problem #3: Let Z-N(0, 1) and X-N(-2,9).
(a) Calculate E[Z¹].
(b) Calculate E[X] (hint: try expressing X as a function of Z, and note E[Z"]=0 whenever n is odd)
Transcribed Image Text:Problem #3: Let Z-N(0, 1) and X-N(-2,9). (a) Calculate E[Z¹]. (b) Calculate E[X] (hint: try expressing X as a function of Z, and note E[Z"]=0 whenever n is odd)
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