Chapter 3| Probability Topics 231 Up for reelection: Democratic Party Republican
ID: 3370766 • Letter: C
Question
Chapter 3| Probability Topics 231 Up for reelection: Democratic Party Republican Party Other Total November 2014 20 November 2016 Total Table 3.19 13 0 10 24 0 101. What is the probability that a randomly selected senator has an "Other" affiliation? 102. What is the probability that a randomly selected senator is up for reelection in November 2016? 103. What is the probability that a randomly selected senator is a Democrat and up for reelection in November 2016? 104. What is the probability that a randomly selected senator is a Republican or is up for reelection in November 2014? 105. Suppose that a member of the US Senate is randomly selected. Given that the randomly selected senator is up for reelection in November 2016, what is the probability that this senator is a Democrat? 106. Suppose that a member of the US Senate is randomly selected. What is the probability that the senator is up for reelection in November 2014, knowing that this senator is a Republican? 107. The events "Republican" and "Up for reelection in 2016" are a. mutually exclusive. b. independent. c. both mutually exclusive and independent. d. neither mutually exclusive nor independent 108. The events "Other" and "Up for reelection in November 2016" are a. mutually exclusive. b. independent. C. both mutually exclusive and independent. d. neither mutually exclusive nor independent.Explanation / Answer
101) Probability that a randomly selected senator has "Other" affiliation =0
102) Probability that a randomly selected senator is up for re-election in November 2016= 34/67=0.5075
103) P(Democrat and up for re-election in 2016)= 10/67=0.1493
104) P(Republican or up for re-election in 2016)= P(republican)+ P(re-election in 2016)- P(republican and up for re-election) = 37/67+34/67-24/67= 47/67 = 0.7015
105) P(Democrat| Up for re-election in 2016) =10/34=0.2941
106) P(Up for re-election in November 2014 |Republican )= 13/37= 0.3513
107) neither mutually exclusive nor independent
108) mutually exclusive
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