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5) A store specializing in mountain bikes is to open in one of two malls. If the first mall isselected, the store anticipates a yearly profit of $ 1 comma 050 comma 000$1,050,000if successful and a yearly loss of $ 350 comma 000$350,000otherwise. The probability of success is one half12. If the second mall isselected, it is estimated that the yearly profit will be $ 700 comma 000$700,000ifsuccessful; otherwise, the annual loss will be $ 210 comma 000$210,000. The probabilty of success at the second mall is three fourths34.

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11.8.12

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An oil company is considering two sites on which todrill, described asfollows:

SiteA:	Profit if oil isfound: $140140 million	SiteB:	Profit if oil isfound: $210210 million
	Loss if no oil isfound: $2525 million		Loss if no oil isfound: $3434 million
	Probability of findingoil: 0.2		Probability of findingoil:

a.Which site has the larger expectedprofit?

7) In a product liabilitycase, a company can settle out of court for a loss of$350,000, or go totrial, losing $1 comma 000 comma 0001,000,000if found guilty and nothing if found not guilty. Lawyers for the company estimate the probability of anot-guilty verdict to be 0.8.

a.What is theexpected value of the amount the company can lose by taking the case tocourt?

8)A game is played using one die. If the die is rolled and shows 66,the player wins $ 5$5. If the die shows any number other than 66,the player wins nothing.

a.If there is a charge of $ 1$1to play thegame, what is thegame's expectedvalue?

9) One option in a roulette game is to bet $ 18$18 on red. (There are 18 redcompartments, 18 blackcompartments, and two compartments that are neither red norblack.) If the ball lands onred, you get to keep the $ 18$18 you paid to play the game and you are awarded $ 18$18. If the ball landselsewhere, you are awarded nothing and the $ 18$18 that you bet is collected. a.What is the expected value for playing roulette if you bet $ 18$18 onred? $____(Round to the nearestcent.)

10) The spinner on a wheel of fortune can land with an equal chance on any one of ten regions. Three regions arered, four areblue, two areyellow, and one is green. A player wins $ 2$2 if the spinner stops on red and $ 4$4 if it stops on green. The player loses $ 2$2 if it stops on blue and $ 1$1 if it stops on yellow. a. What is the expectedvalue? $____.(Round to the nearestcent.)