The lifetime of a certain battery is modeled with the Weibull distribution with = 2 and

Chapter 4, Problem 10

(choose chapter or problem)

The lifetime of a certain battery is modeled with the Weibull distribution with \(\alpha=2 \text { and } \beta=0.1\).

a. What proportion of batteries will last longer than 10 hours?

b. What proportion of batteries will last less than 5 hours?

c. What proportion of batteries will last longer than 20 hours?

d. The hazard function is defined in Exercise 8. What is the hazard at \(t=10\) hours?

Equation Transcription:

Text Transcription:

\alpha=2 and  \beta=0.1

t=10

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