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PSTAT 127, Winter 2018, Homework 3 Solutions.1. The following question only relies on PSTAT 120A and 120B and pre-requisites - a review of some concepts from those courses.Suppose we are analyzing data from the exponential distribution, which has density functionf(y;δ) =δexp(-δy)fory >0, depending on a single parameterδ >0. The exponential distribution arises in reliability theory as the waiting time untilfailure of a system that is subject to a constant risk of failureδ.(a) Using a computer: plotf(y;δ)as a function ofywhenδ= 1. What is the area under this curve, and why?