Probability of Rain on Monday and Tuesday - Prof. Alexei G. Stepanov, Quizzes of Probability and Statistics

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.

Typology: Quizzes

Pre 2010

Uploaded on 03/10/2009

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STAT 408
Spring 2009
Version B
Name _________________________
Section __________
Quiz 2
(10 points)
Be sure to show all your work; your partial credit might depend on it.
No credit will be given without supporting work.
1.
A local meteorologist noticed that if it rains on Monday, then the probability that
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: __________.
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STAT 408

Spring 2009

Version B

Name _________________________

Section __________

Quiz 2

(10 points)

Be sure to show all your work; your partial credit might depend on it.

No credit will be given without supporting work.

1. A local meteorologist noticed that if it rains on Monday, then the probability that

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: __________.

1. (continued)

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: __________.