A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample

Question

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 Democrat none 38 104 12 87 137 21 90 118 Express your answers as a decimal and round to four decimal places. If we randomly select one of the adults who participated in this study, compute: P(Republican) P(same)- P(samejRepublican)- P(Republicansame) - P(Republican and same)- Question 1. Points possible:1 Unlimited attempts.

Explanation / Answer

Using the information in the tables,

P(Republican) = (38 + 104 + 44) / 651 = 0.2857.

P(same) = (104 + 87 + 90) / 651 = 0.4316.

P(same|republican) = 104 / (38 + 104 + 44) = 0.5591.

P(Republican|same) = 104 / (104 + 87 + 90) = 0.3701.

P(Republican and same) = 104 / 651 = 0.1598.

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