11.) Giving a test to a group of students, the grades and gender are summarized below. Round your answers to 4 decimal places.
A | B | C | Total | |
---|---|---|---|---|
Male | 18 | 6 | 5 | 29 |
Female | 9 | 14 | 2 | 25 |
Total | 27 | 20 | 7 | 54 |
If one student is chosen at random,
a. Find the probability that the student got a C:
b. Find the probability that the student was male AND got a
"B":
c. Find the probability that the student was male OR got an
"A":
d. If one student is chosen at random, find the probability that
the student was male GIVEN they got an 'A':
12.) CBS News poll involved 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 |
If we randomly select one of the adults who participated in this
study, compute: (round to four decimal places)
a.P(Republican) =
b.P(same) =
c.P(same|Republican) =
d.P(Republican|same) =
e.P(Republican and same)
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