Did not lie 15 32 Lied 42 Positive test Negative test Suppose a test is selected
ID: 3370316 • Letter: D
Question
Did not lie 15 32 Lied 42 Positive test Negative test Suppose a test is selected 9 Find the probability that the test is from a person who lied. (a)42/98 (b) 51/98 (c) 57/98 (d) 66/98 Suppose a test is selected. 10. Find the probability that the test is from a person who took the positive test and the person lied. (a)42/98 (b) 51/98 (c)57/98 (d) 66/98 Suppose a test is selected 11. Find the probability that the test is from a person who took the positive test and the person did not lie (a)42/98 (b) 51/98 (c) 57/98 (d) 15/98 Suppose a test is selected. 12. Find the probability that the test is from a person who took the positive test OR the person lied. (a)42/98 (b) 51/98 (c) 57/98 (d) 66/98 Suppose a test is selected. 13. Find the probability that the test is from a person who took the positive test given that the person did not lie. (a)42/98 (b) 15/47 (c) 57/98 (d) 15/57Explanation / Answer
Total person = 15 + 32 + 42 + 9 = 98
9) P(lied) = (42 + 9)/98 = 51/98
Option - b is correct.
10) P(postive test and lied) = 42/98
Option - a is correct.
11) P(positive test and did not lie) = 15/98
Option - d is correct.
12) P(positive test or lie) = P(positive test) + P(lie) - P(positive test and lie)
= 57/98 + 51/98 - 42/98
= 66/98
Option - d is correct.
13) P(positive test | did not lie) = P(positive test and did not lie)/P(did not lie)
= (15/98)/(47/98)
= 15/47
Option - b is correct.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.