SOLUTION: A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and

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Question 1203950: A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.
better same worse
Republican 38 104 44
Democrat 12 87 137
none 21 90 118



P(Republican) =
0.2857

P(worse) =
0.4593

P(worse|Republican) =

P(Republican|worse) =

P(Republican and worse) =
Answer by ikleyn(52810) About Me  (Show Source):
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A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults,
asked those adults about their party affiliation (Democrat, Republican or none) and their opinion
of how the US economy was changing ("getting better," "getting worse" or "about the same").
The results are shown in the table below. 
            better  same   worse
Republican   38      104     44
Democrat     12       87    137
none         21       90    118


(a) P(Republican) = 0.2857    correct

(b) P(worse) = 0.4593         correct

(c) P(worse|Republican) =   

(d) P(Republican|worse) =

(e) P(Republican and worse) =
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

(c)  P(worse|Republican) 

     They want you calculate this CONDITIONAL probability.

     It is the fraction, whose numerator is the number of Republicans in the Table
     in the column "worse" (44), related to the total of Republicans (38 + 104 + 44).

        P = 44%2F%2838+%2B+104+%2B+44%29 = 44%2F186 = 0.2366  (rounded).    ANSWER



(c)  P(Republican|worse)

     They want you calculate this CONDITIONAL probability.

     It is the fraction, whose numerator is the number of Republicans in the Table
     in the column "worse" (44), related to the total in column "worse" (44 + 137 + 118).

        P = 44%2F%2844+%2B+137+%2B+118%29 = 44%2F299 = 0.1472  (rounded).    ANSWER



(e)  P(Republican and worse)

     This probability is the fraction, whose numerator is the number in the Table
     in the in the intersection of the row "Republican" and the column "worse" (44).
     The denominator is the total of people in the table (38 + 104  + 44 + 12 + 87 + 137 + 21 + 90 + 118) = 651.

        P = 44%2F%2838+%2B+104++%2B+44+%2B+12+%2B+87+%2B+137+%2B+21+%2B+90+%2B+118%29 = 44%2F651 = 0.0676  (rounded).    ANSWER

Solved.