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 < 3 F(x) = (x-3)/1.27 3 < x < 4.27 1 x > 4.27 a) What is E(X)? Give your answer to three decimal places. b) What is the value c such that P(X < c) = 0.22? Give your answer to four decimal places.