Suppose that X has the pdf f(x) = Ae-Ar for a>0, and Y = X². What is the pdf of Y? □ a. f(y) = y¯¾e¯¹√ÿ □ b. f(y) = y e-√³ 4 0 C. f(y) = yey O d. f(y) = y sexy

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Suppose that X has the pdf f(x) = Xe for x > 0, and Y = X².
What is the pdf of Y?
□ a. f(y) = √y¯¹⁄e¯¹√²
□ b. f(y) = y ¹ e ¹√²
4
□ c.
f(y)
f(y) = y e->y
yey
□d. f(y) =
Suppose a sample X is i.i.d. drawn from a normal distribution with
unknown mean μ and standard deviation o= 4. The sample contains 100
observations with mean 5. The 95% confidence interval for u is [
J. (Please keep 2 decimal places)
Suppose that X is a continous random variable taking value between 0
and 1 with the pdf f(x) = 2x. Var(X² Fequals to
(Please keep
4 decimal places)
Transcribed Image Text:Suppose that X has the pdf f(x) = Xe for x > 0, and Y = X². What is the pdf of Y? □ a. f(y) = √y¯¹⁄e¯¹√² □ b. f(y) = y ¹ e ¹√² 4 □ c. f(y) f(y) = y e->y yey □d. f(y) = Suppose a sample X is i.i.d. drawn from a normal distribution with unknown mean μ and standard deviation o= 4. The sample contains 100 observations with mean 5. The 95% confidence interval for u is [ J. (Please keep 2 decimal places) Suppose that X is a continous random variable taking value between 0 and 1 with the pdf f(x) = 2x. Var(X² Fequals to (Please keep 4 decimal places)
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