Simulation Problems Worksheet - Strongsville City Schools



Simulation Problems Worksheet AP StatisticsThe chance of contacting strep throat when coming into contact with an infected person is estimated as 0.15. Suppose the four children of a family come into contact with an infected person. Conduct a simulation to answer the following questions. Use the random number table below and conduct 20 trials. Clearly identify each trial on the table. Using your results, estimate the average number of children who will get the disease. What is the probability of two of the children getting the disease?What is the probability of at least two of the children getting the disease? 3115164727887959373622189470044830477410788719838744647180726519458586782325709701430003043203623671659299761394452562118544613656321558445538125503398217819650412831394413736026274192960613738405383890804943322. Suppose the probability that an exploratory oil well will strike oil is about 0.2. Conduct a simulation to answer the following questions. Assume that the outcome (oil or no oil) for any one exploratory well is independent of outcomes from other wells. Use the random number table below and conduct 20 trials. Clearly identify each trial on the table. Estimate the average number of wells that need to be drilled in order to strike oil. What is the probability that it will take fewer than 3 attempts to strike oil?What is the probability that it will take exactly 6 wells to strike oil?47169 804100333373856856275435136653 553902043948605455130545876361 474091491455280705335296020579 870545999890071675549123796994 659657323549260453092466092048 086767265387342190843378037592 963611824636121148882332908032 20831983149352124035431863. A certain professor has eight keys, but he never recalls which one fits his office door lock. He tries one key at a time, each time choosing one of the keys at random from his pocket. (All the keys look the same but he does not put a key back in his pocket once he has tried that key.) Conduct a simulation to answer the following questions. Use the random number table below and conduct 20 trials. Clearly identify each trial on the table. What is the expected number of tries needed for him to find the correct key? What is the probability it will take more than 4 tries to find the right key? 648317855825961076107546485326343363984024371535480148557845117923865992620482530537080411659854339221100087633746966583528224899003648348615468064791316454555278255647942122869707388044568785320546547615601853971159120592396976451891176701298158102906361863783393109331 ................
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