Identify the given random variable as being discrete or continuous. The cost of a randomly selected orange

Identify the given random variable as being discrete or continuous. The number of phone calls between New York and California on Thanksgiving day

Identify the given random variable as being discrete or continuous. The height of a randomly selected student

In a game, you have a 1/42 probability of winning $67 and a probability of 41/42 losing $7. What is your expected value?

Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00 for rolling a 3 or a 6, nothing otherwise. What is your expected value?

Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected value?

Focus groups of 10 people are randomly selected to discuss products of the Famous Company. It is determined that the mean number (per group) who recognize the Famous brand name is 4.80000019, and the standard deviation is 0.73. Would it be unusual to randomly select 10 people and find that greater than 8 recognize the Famous brand name?