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Additional Probability Problems

Additional Probability Problems. 1) The American Red Cross says that about 45% of the U.S. population has Type O blood, 40% Type A, 11% Type B, and the rest type AB. Someone volunteers to give blood, what is the probability that this donor has Type AB blood? has Type A or Type B?

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Additional Probability Problems

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  1. Additional Probability Problems

  2. 1) The American Red Cross says that about 45% of the U.S. population has Type O blood, 40% Type A, 11% Type B, and the rest type AB. • Someone volunteers to give blood, what is the probability that this donor • has Type AB blood? • has Type A or Type B? • has the complement of Type O? 4% 51% 55%

  3. 2) The American Red Cross says that about 45% of the U.S. population has Type O blood, 40% Type A, 11% Type B, and the rest type AB. • Among four potential donors, what is the probability that • all are Type O? • no one is Type AB? • at least one is Type B? • d) they are not all Type A? 0.041 0.849 0.373 0.974

  4. 3) A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired only once, another 7% need repairs twice, and another 4% will require three or more repairs. • If you own two cars, what is the probability that • neither will need repair? • both will need repair? .5184 .0784

  5. 4) A slot machine has three wheels that spin independently. Each has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell. If you play, what is the probability • you get 3 lemons? • you get no fruit symbols? • you get 3 bells (the jackpot)? • you get no bells? • e) you get at least one bar (automatically lose)? .027 .125 .001 .729 .784

  6. 5) Suppose the police operate a sobriety checkpoint after 9 p.m. on a Saturday night when national traffic experts suspect about 12% of drivers have been drinking. Trained officers can correctly decide if a person has been drinking 80% of the time. What’s the probability that • any given driver will be detained for drunk driving? • a driver who was detained has actually been drinking? • c) a driver who was released had actually been drinking? .272 .353 .033

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