QUESTION 6 A new test has been devised for detecting a particular type of cancer. If the test is applied to a person who has this type of cancer, the probability that the person will have a positive...

Extracted text: QUESTION 6 A new test has been devised for detecting a particular type of cancer. If the test is applied to a person who has this type of cancer, the probability that the person will have a positive reaction is 0.95 and the probability that the person will have a negative reaction is 0.05. If the test is applied to a person who does not have this type of cancer, the probability that the person will have a positive reaction is 0.05 and the probability that the person will have a negative reaction is 0.95. Suppose that in the general population, one person out of every 100,000 people has this type of cancer. If a person selected at random has a positive reaction to the test, what is the probability that he has this type of cancer? O 0.95 O 0.0000095 O 0.00019 O 0.0499995 QUESTION 7 Suppose we continually toss a fair coin until we observe both a head and a tail at least once. What is the probability that it will take exactly three tosses to observe this? O 1/2 O 1/4 O 1/6 O 1/8 QUESTION 8 Suppose we roll 10d6 and observe that the number 6 appears three times. What is the probability that it was the first three rolls that produced the number 6? O 1/45 O 1/110 O 1/120 O 1/160