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A quiz from a statistics 408 course, spring 2009, version b. It includes four questions related to conditional probability, where the probability of rain on monday affects the probability of rain on tuesday. Students are required to calculate probabilities based on given information.
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Spring 2009
Version B
(10 points)
it also rains on Tuesday is 0.60. However, if it does not rain on Monday, then the probability that it rains on Tuesday is only 0.20. Suppose that the probability that it rains on Monday is 0.25.
a) (4) What is the probability that it rains on Tuesday?
Answer: __________.
b) (2) Suppose one week it rained on Tuesday. What is the probability that it also rained on Monday?
Answer: __________.
c) (2) What is the probability that it did not rained on Monday, if it did not rained on Tuesday?
Answer: __________.
d) (2) What is the probability that it rains either on Monday or on Tuesday, or both?
Answer: __________.