Solve the runge kutta questions below
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The distance a football travels in the air after being thrown b. The hair color of adults in the United States c. The amount of rain in City A during July d. The weight of a hamburger e. The number of free-throw attempts before the first shot is missed f. The time it takes to drive from City A to City B a. Is the distance a football travels in the air after being thrown a discrete random variable, continuous random variable, or not e random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable. b. Is the hair color of adults in the United States a discrete random variable, continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable. c. Is the amount of rain in City A during July a discrete random variable, continuous random variable, or not arandom variable? O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable. Click to select your answer.Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable a. The exact time it takes to evaluate 67 + 29 b. The usual mode of transportation of people in City A c. The number of home runs in a baseball game d. The number of hits to a website in a week e. The number of textbook authors now eating a meal 1. The square footage of a pool a. Is the exact time it takes to evaluate 67 + 29 a discrete random variable, continuous random variable, or not a random variable? O A. It is a continuous random variable O B. It is a discrete random variable. O C. It is not a random variable b. Is the usual mode of transportation of people in City A a discrete random variable, continuous random variable, or not a random variable? O A. It is a discrete random variable. O B. It is a continuous random variable O C. It is not a random variable. c. Is the number of home runs in a baseball game a discrete random variable, continuous random variable, or not a random variable? O A. It is a continuous random variable )B. It is a discrete random variable C. It is not a random variable Click to select your answer.dy dx y(0) = 1 a) (5pts) Determine the solution of the above equation analytically b) (20 pts) Use Runge-Kutta second order Heun's method to solve the given equation over the interval [0, 12] with step size of h = 2 3 I X2 x2 S U a) y = b) Runge kutta Xi Yi ( True Value) Yi ( Runge Kutta) Error1. compare runge kutta method of order 2 and taylor method of order 2 using following example (runge kutta for w, = 09 19 y'(x) =2ry ,0