Solve the following
The arithmetic mean of two postive real numbers x and y is, by definition, (x+y)/2; and their geometric mean is v (xy). For example, the arithmetic mean of 5 and 20 is 12.5 and their geometric mean is 10. Prove that the arithmetic mean is never less than the geometric mean, and that the two means are equal if and only if the two numbers are equal. [hint: note all that is being asked for. try starting with the inequality (v x - V y) 2 >= 0Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The square footage of a house b. The amount of snowfall in December in City A c. The eye color of people on commercial aircraft flights d. The amount of rain In City B during April e. The time required to download a file from the Internet f. The number of points scored during a basketball game a. 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 continuous random variable O B. It is a discrete random variable. O C. It is not a random variable b, is the amount of snowfall in December in City A a discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable O B. I is a discrete random variable O C. It is not a random variable C. Is the eye color of people on commercial aircraft flights 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. h the amount of rain in City B during April a discrete random variable, a continuous random variable, or not a random variable? Click to select your answerDetermine 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
