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Summary STK110-TUTORIAL 4
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STK110-TUTORIAL 6
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STK110 TUT 4 Preparation sheet 2023Question 1 is based on the following information:
The ratings for a group of 210 students who take both art and mathematics are summarized in
the table below.
RATING IN ART
Above average Below average Total
′
𝑨 𝑨
Above average
RATING 53 29 82
𝑴
IN
MATHEMATICS Below average
26 102 128
𝑴′
Total 79 131 210
A student is selected at random from these students.
a. What is the probability that the student will have:
1) a rating above average in art?
2) a rating below average in mathematics?
b. What is the probability that the student will have:
1) a rating above average in mathematics given that the student has a rating above
average in art?
2) a rating above average in art given that the student has a rating above average in
mathematics?
c. What is the probability that the student will have:
1) a rating above average in both art and mathematics?
2) a rating above average in art and a rating below average in mathematics?
d. What is the probability that the student will have:
1) a rating above average in art or mathematics?
2) a rating below average in art or a rating above average in mathematics?
e. Is having a rating above average in art independent from having a rating above average in
mathematics?
1
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