Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Consider the probability model defined by the cumulative distribution function given below. 0 F(x) = (x-3)/1.7 1 x < 3 3≤x≤4.7 x> 4.7 a) What is E(X)? Give your answer to three decimal places. b) What is the value c such that P(X < c) = 0.14? Give your answer to four decimal places. c) What is the probability that X falls within 0.16 minutes of its mean? Give your answer to four decimal places.

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