he life X (in years) of a voltage regulator of a car has the pdf f(x) = cx²e (²)³, x>0 a) Find c. (b) Find IQR. (c) Given that it has lasted at least 7 years, what is the conditional probability that it will last at least another 3.5 years? If the moment-generating function of a random variable W is M(t) = (1 - 7t)-20, find the pdf, mean, variance, and mode of W.

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.CR: Chapter 13 Review
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he life X (in years) of a voltage regulator of a car has the pdf
f(x) = cx²e-()³, x>0
(b) Find IQR.
(a) Find c.
(c) Given that it has lasted at least 7 years,
what is the conditional probability that it will last at least another 3.5 years?
If the moment-generating function of a random variable W is
M(t) = (1 - 7t)-20,
find the pdf, mean, variance, and mode of W.
Transcribed Image Text:he life X (in years) of a voltage regulator of a car has the pdf f(x) = cx²e-()³, x>0 (b) Find IQR. (a) Find c. (c) Given that it has lasted at least 7 years, what is the conditional probability that it will last at least another 3.5 years? If the moment-generating function of a random variable W is M(t) = (1 - 7t)-20, find the pdf, mean, variance, and mode of W.
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