The document discusses the Weibull distribution, characterized by its density function, which models the length of life for mechanical devices and biological organisms. It specifically focuses on determining the mean and variance for a Weibull distributed random variable with a parameter m=2. The parameter m must be greater than 0, and the document assumes y is a positive random variable.

1. The random variable Y, with a density function given by f(y)=mym1eym/ Where 0y<,,m>0 is said
to have a Weibull distribution. The Weibull density function provides a good model for the
distribution of length of life for many mechanical devices and biological plants and animals. Find
the mean and variance for a Weibull distributed random variable with m=2.