2) A continuous random variable, X, is described by the PDF shown below. For this problem leave your answers in the form of unevaluated integrals. If an integral is trivial, you are expected to evaluate it. • Additionally, you may leave your answers as a function of c. -2 fx(x) 2 fx(x) = c(+1) (-1+1)' -22 0, otherwise a) Determine an expression that you would need to determine c. You do not need to solve for c. b) Determine P[X = 0] c) Determine P[0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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2) A continuous random variable, X, is described by the PDF shown below.
For this problem leave your answers in the form of unevaluated integrals. If an integral is trivial, you
are expected to evaluate it.
• Additionally, you may leave your answers as a function of c.
-2
fx(x)
2
fx(x) =
c(+1)
(-1+1)'
-2<x
x>2
0,
otherwise
a) Determine an expression that you would need to determine c. You do not need to solve for c.
b) Determine P[X = 0]
c) Determine P[0<X<3]
d) Determine an expression for the CDF
Transcribed Image Text:2) A continuous random variable, X, is described by the PDF shown below. For this problem leave your answers in the form of unevaluated integrals. If an integral is trivial, you are expected to evaluate it. • Additionally, you may leave your answers as a function of c. -2 fx(x) 2 fx(x) = c(+1) (-1+1)' -2<x x>2 0, otherwise a) Determine an expression that you would need to determine c. You do not need to solve for c. b) Determine P[X = 0] c) Determine P[0<X<3] d) Determine an expression for the CDF
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