Lifetime of a certain hardware is a continuous random variable with density for 0 < x < 10 elsewhere Find K :{K-50 0 f(x) =

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 14E
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3. Lifetime of a certain hardware is a continuous random variable with density
X
for 0 < x < 10
f(x)
elsewhere
={K-}
50
0
a. Find K.
b. What is the probability of a failure within the first 5 years?
c. What is the expectation of the lifetime?
Transcribed Image Text:3. Lifetime of a certain hardware is a continuous random variable with density X for 0 < x < 10 f(x) elsewhere ={K-} 50 0 a. Find K. b. What is the probability of a failure within the first 5 years? c. What is the expectation of the lifetime?
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