The Weibull Distribution

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Which type of random variables does the Weibull distribution model?

Discrete random variables

Continuous random variables (correct)

Both discrete and continuous random variables

None of the above

Who is the mathematician after whom the Weibull distribution is named?

Maurice René Fréchet

Rosin & Rammler

Waloddi Weibull (correct)

None of the above

What is the probability density function of a Weibull random variable?

$f(x ; \lambda , k) = \frac{k},{\lambda} \left(\frac{x},{\lambda}\right)^{k-1} e^{-(x/\lambda)^k}$ (correct)

$f(x ; \lambda , k) = \frac{k},{\lambda} \left(\frac{x},{\lambda}\right)^{k+1} e^{-(x/\lambda)^k}$

$f(x ; \lambda , k) = \frac{\lambda},{k} \left(\frac{x},{\lambda}\right)^{k-1} e^{-(x/\lambda)^k}$

$f(x ; \lambda , k) = \frac{\lambda},{k} \left(\frac{x},{\lambda}\right)^{k+1} e^{-(x/\lambda)^k}$

What is the range of the Weibull random variable?

$[0, \infty)$ Signup and view all the answers

Who first identified the Weibull distribution?

Rosin & Rammler Signup and view all the answers

Which random variables does the Weibull distribution primarily model?

Continuous random variables Signup and view all the answers

What is the shape parameter of a Weibull random variable?

k Signup and view all the answers

What is the scale parameter of a Weibull random variable?

λ Signup and view all the answers

Which mathematician described the Weibull distribution in detail in 1939?

Waloddi Weibull Signup and view all the answers

What is the probability density function of a Weibull random variable?

$f(x; \lambda, k) = \frac{k},{\lambda}( \frac{x},{\lambda} )^{k-1}e^{-( \frac{x},{\lambda} )^k}$ Signup and view all the answers

The Weibull Distribution

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Questions and Answers

Which type of random variables does the Weibull distribution model?

Who is the mathematician after whom the Weibull distribution is named?

What is the probability density function of a Weibull random variable?

What is the range of the Weibull random variable?

Who first identified the Weibull distribution?

Which random variables does the Weibull distribution primarily model?

What is the shape parameter of a Weibull random variable?

What is the scale parameter of a Weibull random variable?

Which mathematician described the Weibull distribution in detail in 1939?

What is the probability density function of a Weibull random variable?

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