Statistics

10. Giving a test to a group of students, the grades and shirt colors are summarized below A B C Total Red Shirt 6 5 17 28 Blue Shirt 13 8 9 30 Total 19 13 26 58 If one student is chosen at random, (a) Find the probability that the student has a Blue Shirt GIVEN they got a 'B'. Round to 4 decimal places, if needed. (b) Find the probability that the student got a 'B' GIVEN they are wearing a Blue Shirt. Round to 4 decimal places, if needed. 11. 53% of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first-degree murder. Among Latino California registered voters, 48.3% prefer life in prison without parole over the death penalty for a person convicted of first-degree murder. 25% of all Californians are Latino. These preferences are summarized in the contingency table below: Latino Non-Latino Total Prefer Life Sentence 0.25599 0.27401 0.53 Prefer Death Penalty -0.00599 0.47599 0.47 Total 0.25 0.75 Suppose that one Californian is randomly selected. Round your answers to parts a) and b) to two decimal places. a) What is P(C) ? b) What is P(C | L) ? c) Are C and L independent events? O Yes, because P(C) and P(C | L) are equal. O No, because P(C) and P(C| L) are not equal