(6) A fair coin is tossed ten times in a row. (a) What is the probability...

   

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(6) A fair coin is tossed ten times in a row. (a) What is the probability that "heads" comes up exactly five times? (b) What is the probability that "heads" come up at least eight times? (c) What is the probability that "heads" come up at least once? You flip a coin 8 times. What is the probability of seeing exactly four tails? 128/256 186/256 70/256 4/256 (7) Let's say the probability of having a particular cancer is 1%. There is a test for this cancer. It will test positive 90% of the time if you have the cancer and it will correctly come out negative 80% of the time if you don't have the cancer. Fill out the following probabilities: Pr(cancer) = 0.01 Pr(no cancer) = Pr(positive | cancer) = 0.9 Pr(negative | cancer) = Pr(positive | no cancer) = Pr(negative no cancer) = 0.8 (8) By the product rule, the probability of the test coming out positive and you have cancer is: (6) A fair coin is tossed ten times in a row. (a) What is the probability that "heads" comes up exactly five times? (b) What is the probability that "heads" come up at least eight times? (c) What is the probability that "heads" come up at least once? You flip a coin 8 times. What is the probability of seeing exactly four tails? 128/256 186/256 70/256 4/256 (7) Let's say the probability of having a particular cancer is 1%. There is a test for this cancer. It will test positive 90% of the time if you have the cancer and it will correctly come out negative 80% of the time if you don't have the cancer. Fill out the following probabilities: Pr(cancer) = 0.01 Pr(no cancer) = Pr(positive | cancer) = 0.9 Pr(negative | cancer) = Pr(positive | no cancer) = Pr(negative no cancer) = 0.8 (8) By the product rule, the probability of the test coming out positive and you have cancer is:

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