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 > 4.13What is E(X)? Give your answer to three decimal places. What is the value c such that P(X < c) = 0.75? Give your answer to four decimal places. What is the probability that X falls within 0.28 minutes of its mean? Give your answer to four decimal places.

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?