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1. Assume that the spinner to the right cannot land on a line.  Determine the probability that the spinner lands on the red and determine the probability that the spinner lands on the blue.     diagram has 3 red, 2 green,  1 yellow.

2.  A dart is thrown randomly and sticks on the circular dart board with 26 partitions, as shown. Assume that the dart cannot land on the black area or on a border between colors. Determine the probability that the dart lands on the area marked with a number greater than or equal to 15.

 3.  Refer to the table on the right, which shows the type and manufacturer of vehicles at a specific car dealership. If one person selects a vehicle at random from the

dealership, determine the probability that the person selects a domestic car. 

 

                    Domestic  Foreign   Total

Car                  56              31           87

SUV                 26              17           43

 Total              82               48          130

 

4.  Shenise is a star player for her women's basketball team. She has injured her ankle, and it is doubtful that she will be able to play in an upcoming game. If Shenise can play, the coach estimates that the team will score  87 points. If Shenise is not able to play, the coach estimates that they will score  70 points. The team doctor estimates that there is a 70 % chance Shenise will play. Determine the number of points the team can expect to score.

5. According to an insurance company, the probability that a woman will survive one year is 0.992, and the probability that she will die in one year is . If she buys a $10,000 one-year term policy for $100, what is the company's expected gain or loss?

6. A coffee franchise is opening a new store. The company estimates that there is 80% chance the store will have a profit of $20,000 , a5 % chance the store will break even, and a15 % chance the store will lose $4000 . Determine the expected gain or loss for this store.

7.  An airline is planning its staffing needs for the next year. If a new route is approved, it will hire 915 new employees. If a new route is not granted, it will hire only 187 new employees. If the probability that a new route will be granted is .39, what is the expected number of new employees to be hired by the airline?