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1. Use the given values to find the following. (Enter your answers as fractions.) 5. A junior high girls' basketball team is to consist of 5 players. How many different teams can the manager select from a roster of 10 girls? teams P(A) = 0.7, P(B) = 0.3, P(An B) = 0.2 6. Use the given values to find the following. (Enter your answers as fractions.) (a) P(A given B) P(A) = 0.7, P(B) = 0.3, P(A n B) = 0.2 P(A given B) (b) P(B given A) (b) P(B given A) 2. You will take either a basket-weaving course or a philosophy course, depending on what your advisor decides. You estimate that the probability of getting an A in basket weaving is 0.80, while in philosophy it is 0.70. However, the chances of your advisor choosing the basket-weaving course is only 10%, while there is an 90% chance that he will put you in the philosophy course. What is the probability that you end up with an A? (Enter your answer to three decimal places.) 3. Suppose that 80% of drivers are "careful" and 20% are "reckless." Suppose further that a careful driver has a 0.2 probability of being in an accident in a given year, while for a reckless driver the probability is 0.3. What is the probability that a randomly selected driver will have an accident within a year? (Enter your answer to two decimal places.) 4 For the situation, identify the two players and their possible choices, and construct a payoff matrix for their conflict. In an attempt to gain more viewers, Channel 86 and Channel 7 are each trying to decide whether to schedule a quiz show or a reality series in their 8:00 prime time slot. Market research indicates that if Channel 86 chooses a quiz show, it will gain 4% of the market if Channel 7 runs a quiz show and lose 5% if Channel 7 runs a reality series, while if Channel 86 chooses a reality series, it will gain 8% if Channel 7 runs a quiz show and lose 8% if Channel 7 runs a reality series. [Hint: Use Q and R for quiz show and reality series.] Channel 7 Channel 86 1% 1% What does Q represent? O Q represents a quiz show. O Q represents a reality show. What does R represent? O R represents a quiz show. O R represents a reality show. DO