Solution Found!
Let the life W (in years) of the usual family car have a Weibull distribution with = 2
Chapter 3, Problem 3.4-1(choose chapter or problem)
QUESTION:
Let the life W (in years) of the usual family car have a Weibull distribution with\(\alpha = 2\). Show that \(\beta\) must equal 10 for \(P(W>5)=e^{-1 / 4} \approx 0.7788\). Hint: \(P(W > 5) = e^{−H(5)}\).
Questions & Answers
QUESTION:
Let the life W (in years) of the usual family car have a Weibull distribution with\(\alpha = 2\). Show that \(\beta\) must equal 10 for \(P(W>5)=e^{-1 / 4} \approx 0.7788\). Hint: \(P(W > 5) = e^{−H(5)}\).
ANSWER:Step 1 of 3
Given has a Weibull distribution with
pdf of a Weibull distribution:
Replace by 2
The cdf at is the integral of the pdf up to :
Let and .