88) Suppose that the probability of rain today depends on weather conditions from the previous three days. If it has rained for the past'three days, then it will rain today with probability 0.7; if it did not rain for any of the past three days, then it will rain today with probability 0.1; if it rained each of the past two days but not three days ago, it will rain with probability 0.8; and, in any other case, the weather today will match yesterday's weather with probability 0.6.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Q8) Suppose that the probability of rain today depends on weather conditions from the
previous three days. If it has rained for the past'three days, then it will rain today with
probability 0.7; if it did not rain for any of the past three days, then it will rain today with
probability 0.1; if it rained each of the past two days but not three days ago, it will rain with
probability 0.8; and, in any other case, the weather today will match yesterday's weather
with probability 0.6.
Transcribed Image Text:Q8) Suppose that the probability of rain today depends on weather conditions from the previous three days. If it has rained for the past'three days, then it will rain today with probability 0.7; if it did not rain for any of the past three days, then it will rain today with probability 0.1; if it rained each of the past two days but not three days ago, it will rain with probability 0.8; and, in any other case, the weather today will match yesterday's weather with probability 0.6.
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