2 Let be independent uniform 01 and uniform 02 random variab

2) Let be independent, uniform (0,1) and uniform (0,2) random variables. Set a. Determine the cumulative distribution function for random variable and then determine the density function for b. Sketch the pdf and the cdf for A 3) Let be independent with uniform (0,1) and uniform (0,2) and set a. Determine the cumulative distribution function for random variable and determine the density function for. b. Sketch the pdf and the cdf for B 4) Let. Find the first and second derivatives of a. find the critical points b. Use the first derivative to determine where f is increasing/increasing c. Use the second derivative to determine concavity and find any inflection points d. Using the information from b. and c. sketch the graph of f identifying important points.

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