Consider a PDF is given by f(ylp)=s(p)exp(py) where OSys1 and -infinityups infinity and p is natural parameter. 1. What's the value of s(p)? 2. Find the CDF and the quantile function. 3. Let V=F-(U) where U~Uniform(0,1). Prove V has the distribution with the PDF f(ylp). 4. How the result of 3) can be used to generate a sequence of independent random variables Yi having the distribution from the exponential family f(ylp), starting with a family of independent uniform random variables Uj. 5. Make plots of PDF, CDP, and quantile function for q=-2,-1,-0.5,0,0.5,1,2