2. (10 points) A group of students has 3 hours to complete a nal exam. The time a given student will spend working on the exam, X, is a continuous random variable with the cumulative distribution function F(x) = 63:2 for 0 S x S 3. 2.1. What is the value of the constant, c? 2.2. For a continuous random variable, X, the cdf may be found by integrating the pdf of X. Therefore, if you know the cdf of X, you can find the pdf by differentiating the cdf with respect to x. Find the pdf of X for O S x S 3, and use it to compute, by integration, the expected amount of time it will take a student to complete the exam