US Senators. The following table displays the 100 senators of the 113th US Congr
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US Senators. The following table displays the 100 senators of the 113th US Congress, viewed by political party affiliation and gender 23) Male Female Total 52 46 36 16 Republicarn Independent Total 42 20 100 80 A senator is selected at random from this group. What is the probability that the senator is a woman? A) 0.31 B) 0.20 C) 0.80 D) 0.40 24) US SENATORS. The following table displays the 100 senators of the 113th US Congress, viewed by political party affiliation and gender Male Female Total 16 52 36 42 Democrat Republican Independent Total 46 80 20 100 A senator is selected at random from this group. Given that the senator is a Republican, what is the probability that the senator is a woman? B) 0.0870 C) 0.20 D) 0.46 A) 0.04 1 7 Kiso fwar LLC. AIIeerved 4AMde with Iafinite Alsebr2Explanation / Answer
A senator is selected frrom this group at random,
Probability that the Senator is a woman = Number of Female Senators / Total number of Senators
Number of Female Senators = 20
Total number of Senators = 100
Probability that the Senator is a woman = Number of Female Senators / Total number of Senators = 20/100 = 0.2
Ans . B) 0.20
A senator is selected frrom this group at random,
Given that the senator is Republican, Probability that the senator is a woman = Number of Female senators who are republicans / Total number of republican Senators
Number of Woman senators who are republicans = 4
Total number of republican Senators = 46
Given that the senator is Republican, Probability that the senator is a woman = Number of Female senators who are republicans / Total number of republican Senators = 4/46 = 0.0870
Ans. B) 0.0870
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