This week Next week Suppose a weather report indicates that the probability of rain this week is 0.20. According to the report, if it rains this week, then the probability of rain next week is 0.33. If it does not rain this week, then the probability of rain next week is 0.17. The tree diagram models this weather report. Rain 0,33 Rain 0,20 Determine the probability that it will not rain for the next two weeks. Express 0.67 No rain your answer as a decimal precise to two decimal places. Rain 0.17 probability = 0.80 No rain 0.83 No rain

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Suppose a weather report indicates that the probability of rain this week is 0.20.
This week
Next week
According to the report, if it rains this week, then the probability of rain next
Rain
week is 0.33. If it does not rain this week, then the probability of rain next week
is 0.17. The tree diagram models this weather report.
0.33
Rain
0.20
Determine the probability that it will not rain for the next two weeks. Express
0.67
No rain
your answer as a decimal precise to two decimal places.
Rain
0.17
probability =
0.80
No rain
0.83
No rain
Transcribed Image Text:Suppose a weather report indicates that the probability of rain this week is 0.20. This week Next week According to the report, if it rains this week, then the probability of rain next Rain week is 0.33. If it does not rain this week, then the probability of rain next week is 0.17. The tree diagram models this weather report. 0.33 Rain 0.20 Determine the probability that it will not rain for the next two weeks. Express 0.67 No rain your answer as a decimal precise to two decimal places. Rain 0.17 probability = 0.80 No rain 0.83 No rain
Expert Solution
Step 1

From the provided information, the known values are,

PRain=0.20PNo rain=0.80

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