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It's a typically hot morning in November in UTeM. You look outside and see some dark clouds rolling in. Historically, there is a 30% chance of rain on any given day in November. Furthermore, on days when it does in fact rain, 95% of the time there are dark clouds that roll in during the morning. But, on days when it does not rain, 25% of the time there are dark clouds that roll in during the morning. Q1: What is the probability of having dark cloud? Q2: Given that there are dark clouds rolling in, what is the chance that it will rain?

It's a typically hot morning in November in UTeM. You look outside and see some dark clouds rolling in. Historically, there is a 30% chance of rain on any given day in November. Furthermore, on days when it does in fact rain, 95% of the time there are dark clouds that roll in during the morning. But, on days when it does not rain, 25% of the time there are dark clouds that roll in during the morning. Q1: What is the probability of having dark cloud? Q2: Given that there are dark clouds rolling in, what is the chance that it will rain?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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It's a typically hot morning in November in UTEM. You look outside and see some dark clouds rolling in. Historically, there is a 30% chance of rain on any given day in November. Furthermore, on days when it does in fact rain, 95% of the time there are dark clouds that roll in during the morning. But, on days when it does not rain, 25% of the time there are dark clouds that roll in during the morning. Q1: What is the probability of having dark cloud? Q2: Given that there are dark clouds rolling in, what is the chance that it will rain? Choose ALL correct answers. O A. Q2 = 0.9722 O B. Q2 = 0.0278 O C. Q1 = 0.3 O D. Q1 = 0.7 O E. Q2 = 0.6196 O F. Q1 = 0.54 O G. Q1 = 0.46 O H. Q2 = 0.3804
Transcribed Image Text:It's a typically hot morning in November in UTEM. You look outside and see some dark clouds rolling in. Historically, there is a 30% chance of rain on any given day in November. Furthermore, on days when it does in fact rain, 95% of the time there are dark clouds that roll in during the morning. But, on days when it does not rain, 25% of the time there are dark clouds that roll in during the morning. Q1: What is the probability of having dark cloud? Q2: Given that there are dark clouds rolling in, what is the chance that it will rain? Choose ALL correct answers. O A. Q2 = 0.9722 O B. Q2 = 0.0278 O C. Q1 = 0.3 O D. Q1 = 0.7 O E. Q2 = 0.6196 O F. Q1 = 0.54 O G. Q1 = 0.46 O H. Q2 = 0.3804
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