Math 150 Quiz 5 Section 9795 Fall 2017 Name Date For credit, you must show your
ID: 3330470 • Letter: M
Question
Math 150 Quiz 5 Section 9795 Fall 2017 Name Date For credit, you must show your work or describe the way you came to your answer. Note that calculated probabilities may be stated as a reduced proper fraction, a decimal or a percent Here is a table of results which shows how the exam scores of all my students breaks down by two categories. 1. PassedDid not Pass s 70 Section 1 14 17 Section 2 21 13 Section 3 20 15 I select one of my students at random. What is the probability that the student selected is: a. Earned a passing grade GIVEN THAT the selected student was in the Section 1? b. Was from Section 1 GIVEN THAT the student did not earn a passing grade?Explanation / Answer
a) P(passed | Section 1) = (passed section 1)/section 1 = 14/(14+17) = 14/31 = 0.4516
b) P(Section 1 | Did not pass) = (did not pass section 1)/did not pass = 17/(17+13+15) = 0.3778