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blem 2: Suppose Random Variable H has the pdf: -3x fu(x) = {C * = {c+ e-³* Otherwise x ≥ 0 0 a) What is the value for c? b) What is the probability that H is less than 3.5? c) What is the probability that H is greater than 3.5? d) What is the cdf for H? e) What is the function that gives P{H>t} for all t≥ 0?

blem 2: Suppose Random Variable H has the pdf: -3x fu(x) = {C * = {c+ e-³* Otherwise x ≥ 0 0 a) What is the value for c? b) What is the probability that H is less than 3.5? c) What is the probability that H is greater than 3.5? d) What is the cdf for H? e) What is the function that gives P{H>t} for all t≥ 0?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 23E
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Problem 2: Suppose Random Variable H has the pdf: -3x * e = {c * 0 ƒH(x) x ≥ 0 Otherwise a) What is the value for c? b) What is the probability that H is less than 3.5? c) What is the probability that H is greater than 3.5? d) What is the cdf for H? e) What is the function that gives P{H>t} for all t≥ 0?
Transcribed Image Text:Problem 2: Suppose Random Variable H has the pdf: -3x * e = {c * 0 ƒH(x) x ≥ 0 Otherwise a) What is the value for c? b) What is the probability that H is less than 3.5? c) What is the probability that H is greater than 3.5? d) What is the cdf for H? e) What is the function that gives P{H>t} for all t≥ 0?
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