I rondom sample of n = 60 observations is drawn from a distribution with the following probability density function. foo (2x) ' x² /9 for 0 < x <3 O otherwise Let Y be the numbentor number out of the 60 observations which are in interval (0.75, 2.75) Calculate E(Y) and Var (Y).

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
Problem 25E
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5
A rondom sample of n = 60 observations
is drawn from a distribution with the
- following probability density function
fox (x) = { x² /9 for 0 < x <3
otherwise
Let y be the meator number out of the
60 observations which are in interval (0.75,2.75)
Calculate E(Y) and Var (Y).
Transcribed Image Text:5 A rondom sample of n = 60 observations is drawn from a distribution with the - following probability density function fox (x) = { x² /9 for 0 < x <3 otherwise Let y be the meator number out of the 60 observations which are in interval (0.75,2.75) Calculate E(Y) and Var (Y).
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