Solution Found!
The lifetime of a bearing (in years) follows the Weibull
Chapter 4, Problem 17SE(choose chapter or problem)
The lifetime of a bearing (in years) follows the Weibull distribution with parameters \(\alpha\) = 1.5 and
\(\beta\) = 0.8.
a. What is the probability that a bearing lasts more than 1 year?
b. What is the probability that a bearing lasts less than 2 years?
Equation transcription:
Text transcription:
\alpha
\beta
Questions & Answers
QUESTION:
The lifetime of a bearing (in years) follows the Weibull distribution with parameters \(\alpha\) = 1.5 and
\(\beta\) = 0.8.
a. What is the probability that a bearing lasts more than 1 year?
b. What is the probability that a bearing lasts less than 2 years?
Equation transcription:
Text transcription:
\alpha
\beta
ANSWER:Step 1 of 3:
It is given that lifetime of a bearing( in years) follows weibull distribution with =1.5 and
=0.8.
Let us denote the lifetime of the bearing as X. Then X~Weibull(=1.5,
=0.8).
The probability mass function of X is given by,
P(Xx)=1-
for x>0
=0 for x0