QUESTION 10 The table below indicates the accuracy of a local weather report with respect to rain or no rain over the past year. This table gives the results of 365 consecutive days and compares whether it rained or not to whether or not rain was predicted. Report Predicted Rain Report Predicted No Rain Did it actually rain? Yes 105 40 No 15 205 (a) How many times was the prediction correct? (b) How many times was it wrong? (c) If one day is randomly selected from last year, what is the probability that the prediction was correct? Round your answer to 3 digits.

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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
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QUESTION 10
The table below indicates the accuracy of a local weather report with respect to rain or no rain over the past year. This
table gives the results of 365 consecutive days and compares whether it rained or not to whether or not rain was
predicted.
Report Predicted Rain
Report Predicted No Rain
Did it actually rain?
No
Yes
15
205
105
40
(a) How many times was the prediction correct?
(b) How many times was it wrong?
(c) If one day is randomly selected from last year, what is the probability that the prediction was correct? Round your
answer to 3 digits.
P(prediction was correct) =
(d) Tomorrow, the same local weather report will be given. Estimate the probability that it will be correct with respect to
rain or no rain. Round your answer to 3 digits.
P(tomorrow's prediction is correct) =
Transcribed Image Text:QUESTION 10 The table below indicates the accuracy of a local weather report with respect to rain or no rain over the past year. This table gives the results of 365 consecutive days and compares whether it rained or not to whether or not rain was predicted. Report Predicted Rain Report Predicted No Rain Did it actually rain? No Yes 15 205 105 40 (a) How many times was the prediction correct? (b) How many times was it wrong? (c) If one day is randomly selected from last year, what is the probability that the prediction was correct? Round your answer to 3 digits. P(prediction was correct) = (d) Tomorrow, the same local weather report will be given. Estimate the probability that it will be correct with respect to rain or no rain. Round your answer to 3 digits. P(tomorrow's prediction is correct) =
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