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**laser** The lifetime of a product is $\displaystyle Y=5X^{0.7}$ where x has an exponential distribution with mean 1. I need to find the distribution function and pdf of Y.

For the pdf I got $\displaystyle e^{-x}$. Can this be simply integrated to get the distribution function F(Y) to equal $\displaystyle 1-e^{-x}$? I obviously need the $\displaystyle Y=5X^{0.7}$ for something, but I'm not sure how to incorporate it besides subbing $\displaystyle x=0.1003393821Y^{10/7}$

Thank you!