One pro basketball player was known for being a good shooter. In games during 1980-1982, when he missed his first free throw, 47 out of 54 times he made the second one, and when he made his first free throw, 248 out of 285 times he made the second one. Complete parts (a) through (c) a. Form a contingency table that cross tabulates the outcome of the first free throw (made missed) in the rows and the outcome of the second free throw (made missed) in the columns. 2nd free throw made 2nd free throw missed Total 1st free throw made 1st free throw missed Total 1 T b. For a given pair of free throws, estimate the probability that the player made the first free throw. (Hint: Use counts in the row margin.) The probability is (Round to the nearest hundredth as needed.) For a given pair of free throws, estimate the probability that the player made the second free throw. (Hint: Use counts in the column margin.) The probability is (Round to the nearest hundredth as needed.) c. Estimate the probability that the player made the second free throw, given that he made the first one. The probability is (Round to the nearest hundredth as needed.) Does it seem as if his success on the second shot depends strongly on whether he made the first? O No O Yes
One pro basketball player was known for being a good shooter. In games during 1980-1982, when he missed his first free throw, 47 out of 54 times he made the second one, and when he made his first free throw, 248 out of 285 times he made the second one. Complete parts (a) through (c) a. Form a contingency table that cross tabulates the outcome of the first free throw (made missed) in the rows and the outcome of the second free throw (made missed) in the columns. 2nd free throw made 2nd free throw missed Total 1st free throw made 1st free throw missed Total 1 T b. For a given pair of free throws, estimate the probability that the player made the first free throw. (Hint: Use counts in the row margin.) The probability is (Round to the nearest hundredth as needed.) For a given pair of free throws, estimate the probability that the player made the second free throw. (Hint: Use counts in the column margin.) The probability is (Round to the nearest hundredth as needed.) c. Estimate the probability that the player made the second free throw, given that he made the first one. The probability is (Round to the nearest hundredth as needed.) Does it seem as if his success on the second shot depends strongly on whether he made the first? O No O Yes
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 1SC: If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
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Transcribed Image Text:One pro basketball player was known for being a good shooter. In games during 1980-1982, when he missed his first free throw, 47 out of 54 times he made the second one, and when he made his first free throw, 248 out of 285 times he made the second
one. Complete parts (a) through (c).
a. Form a contingency table that cross tabulates the outcome of the first free throw (made or missed) in the rows and the outcome of the second free throw (made or missed) in the columns.
2nd free throw made
2nd free throw
missed
Total
1st free throw made
1st free throw
missed
Total
b. For a given pair of free throws, estimate the probability that the player made the first free throw. (Hint: Use counts in the row margin.)
The probability is (Round to the nearest hundredth as needed.)
For a given pair of free throws, estimate the probability that the player made the second free throw. (Hint: Use counts in the column margin.)
The probability is. (Round to the nearest hundredth as needed.)
c. Estimate the probability that the player made the second free throw, given that he made the first one.
The probability is. (Round to the nearest hundredth as needed.)
Does it seem as if his success on the second shot depends strongly on whether he made the first?
No
Yes
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