1. A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 20% of people are likely to invest in portfolio A, 30% are likely to invest in B, and 50% are likely to inves in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose either. This is a tree diagram that represents the probability of investors choosing the different financial products. What is the value of Z? O o4 O o6 O o3 ~ 05 2. Why do we use different calculations) when figuring out how many permutations there are when repetition is allowed vs. when repetition is not allowed? How are these calculations different from each other? Font Family 5. What is the chance of landing on $500 and then Lose A Turn? 6. Provide two examples of real world combinations, one in which repetition isn't allowed and one in which repetition is. B 7 U FontFamily Y-V & &L O = :/f @ 8. How many permutations of a 7-digit phone number exist, assuming that numbers may be repeated and any number 0-9 may be used for any digit? O, All changes sa 10. A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 20% of people are likely to invesc. m ,.ujq. NV A, 30% are likely to invest in B, and 50% are likely to invest in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose (114, [1 This is a tree diagram that represents the probability of investors choosing the different financial products. What is the probability of an investor choosing only bonds from portfolio B? (@) O 15% 25% 50% 11. Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive. P(A) = 0.45 P(B) =0.35 P(C) =0.25 What is the probability of the union of A and C? Font Family MYV 14. A grab-bag contains 20 packages worth $.70 each, 15 packages $.60 cents each, and 5 packages worth $.30 each. What is the expected value if you have to pay $.50 to pick one package at random? (O about $0.53 O about $0.11 (O about $0.00 (O about $0.60 15. The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park? O 30% @A @52 () 60% 16. Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive. P(A) = 0.45 P(B) = 0.35 P(C) = 0.25 What is the probability of the complement of Event A? O 0.55 O 0.45 O 1.00 O 0.1017. Market research shows that 30% of consumers are likely to purchase an electronic tablet for younger children under age 10. However, only 2% of consumers are likely to buy a laptop for children under age 10. On the other hand, for children ages 10 17, 50% of consumers are likely to buy a tablet and 40% are likely to buy a laptop. If a family has a five-year-old son and a 13-year-old daughter, what is the probability of both children receiving a tablet? B U Font Family > Aa~ A (@I AN PN - I TR A =