State transition diagram

7. (Bonus) a. Sketch the state-transition diagram for the Markov chain with the following transition probability matrix: (1.5 points) 0.5 0.5 0 1.0 0 0 0 P = 0.5 0 0.25 0.25 0 0.25 0.25 0.5 b. Find the transition probability matrix for the Markov chain shown. (1.5 points) 0.5 3 0.5Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The number of hits to a website in a day b. The square footage of a house c. The gender of college students d. The time required to download a file from the Internet e. The number of bald eagles in a country f. The number of points scored during a basketball game a. Is the number of hits to a website in a day 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. b. Is the square footage of a house a discrete random variable, a 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 gender of college students a discrete random variable, a 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. d. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? Click to select your answer. Save for LaterQuestion 24 1 pts Marching cubes is a method for computing the contour of a bivariate function. O True O False Question 25 1 pts Marching squares is a method for computing the contour of a bivariate function. O True O False Question 26 1 pts Height maps are an effective tool for visualizing trivariate functions. O True O False1. For a bivariate distribution with the following joint pdf 0 2Y) 2. Repeat with f(x, y) = exp(-x) r>y>0 3. A random variable X has the following pdf: 3c when -1