Question 13 2 pts Let the random variable X represent the amount of money won or lost for a player who pays $5 to play a game at a charity game night. The following table shows the probability distribution of X. Which of the following statements is the best interpretation of the standard deviation of X? 0 The amount of money won or lost in a randomly selected game is expected to be $7.75 0 For a random sample of games, the average amount of money won or lost is expected to be $7.75 0 For a random sample of games, the average amount of money won or lost will be $7.75 away from the mean. 0 On average, the amount of money won or lost varies from the mean by about $7.75. Question 14 2 pts The Gathright Dam backs up the Jackson River for over 12 miles, forming Lake Moomaw. Before the Dam was completed, fisheries biologists determined that Lake Moomaw had the potential for a "two-story" sport fishery. This means that the reservoir would be deep enough for both warm-water fish (bass, catfish, sunfish, crappie) and coldwater fish (trout). Let the random variable W represent the number of warm water fish caught by a randomly selected fisherman on a given day in July and let the random variable C represent the number of cold-water fish caught by a randomly selected fisherman on a given day in July. Given : Mw = 2.35, ow = 1.459 Mc = 1.95, oc = 1.596 Assume that the distributions of warm and cold water fish are independent. What are the mean, H, and the standard deviation, O, for the total amount of fish, T, (warm water + cold water) caught by a randomly selected fisherman in July? T=W+C O MT = 4.3, OT = 2.162 O UT = 9.325, Or = 2.162 O MT = 4.3, OT = 3.055 O MT = 4.3, Or = 2.092Question 15 2 pts According to a 2020 survey, 71% of 18-29-year-olds in the U.S. state they use Instagram daily. A random sample of 30 18-29-year-olds from the U.S. will be selected. What is the probability that fewer than 20 of the selected sample use Instagram daily? O 0.1339 O 0.2425 O 0.2305 O 0.3644Question 16 2 pts Past records indicate that 15 percent of the time, the daily 8 am bus from the Virginia Beach Oceanfront to downtown Norfolk will be late. Assume each 8 am bus run is independent. Suppose Jen decides to ride the 8 am bus to work for two weeks. Which of the following is closest to the probability that the first time the bus is late is on the fth day? 0 00733 0 00035 0 0.4871 0 0.5563