55. State whether the following situations involve a discrete or continuous random variable. Explain your reasoning

A) The length of The major highways across Ontario

B) The number of cars thattravel along the major highways

56. 210 -sided diceare rolled

A) find the probability that the sum isseven

B) graph the probability distribution for the sum when both diceare old

C) calculate the expected value

57. Which of the following has a higher expected value: a six sided die with the number is 4, 5, 6 ,7, 8 ,9 or an eight sided die with the numbers 1,2,3,4,5,6,7,8?

58. A charity raffle has one$1000 prize three $250 prizes and 10 five dollar prizes. A total of 500 tickets are sold at 5$ each . What is the expected profit per ticket?.

59. Jason has designed a game where if you roll a prime number with 2 six-sided dice you receive twice the amount of your roll but if you roll a composite number ( not prime ) you must pay the value of the roll. Recall that a prime number is a number that is only divisible by one or itself. For example, five is a prime number because it is only divisible by one and five. The number six is not a prime number because it is not only divisible by one and six but can also be divided by two and three.