QUESTION 6 1 points Save Answer 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. lfa person selected at random has a positive reaction to the test, what is the probability that he has this type of cancer? \\ 0.95 0.0000095 \\ 0.00019 \\ 0.0499995 QUESTION 7 1 points Save Answer 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? \\ 1/2 \\ 1/4 \\ 1/6 \\ 1/8 QUESTION 8 1 points Save Answer 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? \\ 1/45 \\ 1/110 \\ 1/120 \\ 1/160 QUESTION 9 1 points Save Answer Let X and Y be events such that: . P(X) = 1/3 . P(Y) = 1/5 . P(Y X) + P(X|Y) = 2/3 Calculate P(X' U Y'). O 1/12 9/10 O 10/11 O 11/12 QUESTION 10 1 points Save Answer Let X, Y, Z be events such that: . X and Y are disjoint X and Z are independent . Y and Z are independent 4P(X) = 2P(Y) = P(Z) > 0 . P(X U Y U Z) = 5P(X) Calculate P(X). O 1/6 O 2/6 O 1/4 O 5/6 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Close Window Save and Submit