Solve the following random variable questions ......

Determine whether the following value is a continuous random variable, discrete randorn variable, or not a random variable. 4. The number of textbook authors now eating a meal b. The "yes" or "no" response to a survey question c. The height of a randomly selected person d. The number of light bulbs that burn out in the next year in a room with 20 bulbs e. The number of home runs in a baseball game f. The amount of rain in City A during July a. is the number of textbook authors now eating a meal a discrete random variable, continuous random variable, or not a random variable? O A. It is a continuous random variable Q B. It is a discrete random variable. O C. It is not a random variable b. is the "you" or "no" response to a survey question a discrole random variable, continuous random variable, or not a random variable? Q A It is a discrete random variable. O B, It is a continuous random variable, C. it is not a random variable. c. is the height of a randomly selected person a discrete random variable, continuous random variable, or not a random valable? A. it is a discrete random variable. B. It is a continuous random variable. C C. it is not a random variable d. is the number of light bulbs that burn out in the next year in a room with 20 bulbs a cincrete random variable, continuous random variable, or not a random variable7 O A It is a discrete random variable,f. The square footage of a pool d. Is the number of hits to a website in a week 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 e. Is the number of textbook authors now eating a meal 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 f. Is the square footage of a pool a discrete random variable. continuous random variable, or not a random variable? O A. It is a continuous random variable Q B. It is a discrete random variable O C. It is not a random variable. Click to select your answer,e. Is the number of statistics students now reading a book a discrete random variable, a 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. f. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable C. It is not a random variabledy 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) Error4.1 Two Types of Random Variables 4.2. Probability Distributions for Discrete Random Variables 1. What is a random variable? 2. Give examples for discrete random variable, continuous random variable