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Suppose X follows a distribution with density function: f(x)-10.7kz2 031 otherwise (Note: for this question you can enter your answer in decimals as well as fractions) 1. What must the value of k be so that f(x)is a probability density function? Submit Answer Tries 0/3 2. Find the probability P(0.40.8) Submit Answer Tries 0/3 . Find median of the distribution of X Submit Answer Tries 0/3 4. Find E(Xx) Submit Answer Tries 0/3 5. Find Var(x) Submit Answer Tries 0/3 6. Find the moment generating function of X. [ The accepted form of answer is an algebraic expression in terms of t. All algebraically equivalent expressions to the correct answer are accepted. Write product as e.g 2*3 or 3*t and index/power as superscript, e.g 2 3 for 2 raised to the power 3, and the exponeafntion as exp(t). Submit Answer Tries 0/3

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