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 x < 3F(x) = (x-3)/1.13 3 < x < 4.131 x > 4.13a. What is E(X)? Give your answer to three decimal places. b. What is the value c such that P(X < c) = 0.75? Give your answer to four decimal places. c. What is the probability that X falls within 0.28 minutes of its mean? Give your answer to four decimal places.