The March 2016 makeup of the US Senate by party affiliation and gender follows:
ID: 3131275 • Letter: T
Question
The March 2016 makeup of the US Senate by party affiliation and gender follows: Male (M)
Female (F)
Democrat (D)
30
14
44
Independent (I)
2
0
2
Republican (R)
48
6
54
Total
80
20
100
(Report your answers as fractions or as decimal values rounded to the nearest hundredth.)
Find the probability that a single randomly-selected US Senator is:
(a) Republican and female: Answer: ______________
(b) Republican or female: Answer: ______________
(c) Republican given that the selected Senator is female: Answer: ______________
The March 2016 makeup of the US Senate by party affiliation and gender follows: Male (M)
Female (F)
Democrat (D)
30
14
44
Independent (I)
2
0
2
Republican (R)
48
6
54
Total
80
20
100
Explanation / Answer
a)
There are 6 republican females here out of 100. Hence,
P(R n F) = 6/100 = 0.06 [ANSWER]
************************
b)
Here,
P(R U F) = (48+6+14+0)/100 = 0.68 [ANSWER]
***********************
c)
Here,
P(R|F) = 6/20 = 0.30 [ANSWER]
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