You are playing a board game with a friend. She owns and has developed the tiles Green Gardens and Silver Sidewalks. If you roll an 8, you will land on Green Gardens and owe her $1500. You will be able to pay, but you will not have money left afterward. If you roll a 9, you will land on the tile King's Taxes and have to pay $75. If you roll a 10, you will land on Silver Sidewalks and owe her $2000, which is more than you can pay—and lose the game. If you roll a 7 or less, you will not have to pay any money to anyone. Your friend offers you insurance. Pay her $500 before you roll and even if you land on Green Gardens or Silver Sidewalks, you will not have to pay any additional money. However, if you roll a 7, you will have to pay her $1000. Use probabilities to find expected values. Then compare the amount of money you should expect to pay out on average, under her insurance and by chance. Is her deal fair?

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)