We give a test to a group of students; the results are summarized below. Grades and Year in School A Total Freshman 11 4 16 31 Sophomore 8 18 31 Total 19 9. 34 62 a) If one student is chosen at random, find the probability that the student got a B. Round your answer to 4 decimal places. The probability that a randomly-chosen student got а Bis b) If one student is chosen at random, find the probability that the student was a freshman and got a B. Round your answer to 4 decimal places. The probability they were a freshman and got a B is c) If one student is chosen at random, find the probability that the student was freshman or got a B. Round your answer to 4 decimal places. The probability that they were a freshman or got a B is

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We give a test to a group of students; the results are
summarized below.
Grades and Year in School
A
В
Total
11
Freshman
16
31
Sophomore
8
18
31
Total
19
9.
34
62
a) If one student is chosen at random, find the probability
that the student got a B. Round your answer to 4 decimal
places.
The probability that a randomly-chosen student got
а B is
b) If one student is chosen at random, find the probability
that the student was a freshman and got a B. Round your
answer to 4 decimal places.
The probability they were a freshman and got a B is
c) If one student is chosen at random, find the probability
that the student was freshman or got a B. Round your
answer to 4 decimal places.
The probability that they were a freshman or got a B
is
d) If one student is chosen at random, find the probability
that the student got an B given that they were a
freshman. Round your ans
4 decimal places.
The probability that they got a B given that they
were a freshman is
Extra Credit. Are getting an B and being a freshman
independent? Explain.
Transcribed Image Text:We give a test to a group of students; the results are summarized below. Grades and Year in School A В Total 11 Freshman 16 31 Sophomore 8 18 31 Total 19 9. 34 62 a) If one student is chosen at random, find the probability that the student got a B. Round your answer to 4 decimal places. The probability that a randomly-chosen student got а B is b) If one student is chosen at random, find the probability that the student was a freshman and got a B. Round your answer to 4 decimal places. The probability they were a freshman and got a B is c) If one student is chosen at random, find the probability that the student was freshman or got a B. Round your answer to 4 decimal places. The probability that they were a freshman or got a B is d) If one student is chosen at random, find the probability that the student got an B given that they were a freshman. Round your ans 4 decimal places. The probability that they got a B given that they were a freshman is Extra Credit. Are getting an B and being a freshman independent? Explain.
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