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9. The Weibull Distribution

Virtual Laboratories > 4. Special Distributions > 1 2 3 4 5 6 7 8 9 10 11 12 13 14 159. The Weibull DistributionIn this section, we will study a two-parameter family of distributions that has special importance in Basic Weibull Distribution 1. Show that the function given below is a probability density function for any k > 0:f (t) =k tk 1 exp( tk), t > 0 The Distribution with the density in Exercise 1 is known as the Weibull Distribution Distribution with shape parameterk, named in honor of Wallodi Weibull . Note that when k = 1, the Weibull Distribution reduces to the exponentialdistribution with parameter 1. 2. In the random variable experiment, select the Weibull Distribution . Vary the shape parameter and note the shape andlocation of the density function.

The Weibull Distribution In this section, we will study a two-parameter family of distributions that has special importance in reliability. The Basic Weibull Distribution 1. Show that the function given below is a probability density function for any k > 0: f(t)=k tk−1 exp(−tk), t > 0

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