In Vancouver, Canada the probability of rain during a fall-winter day (FW) is 0.58, and during a spring- summer day (SS) the probability of rain is 0.25. For this problem, consider the probability of a day being either fall-winter (FW) or spring-summer (SS) in Vancouver as equal (0.5) during the year. Use this information to fill out the following probability tree; for each number on the tree branches or end points, write the corresponding probability for that branch or end point on the answer sheet: seasons SS (17) FW (18) weather not rainy (19) rainy (20) not rainy (21) rainy (22) combination SS & not raining (23) SS & rainy (24) FW & not rainy (25) FW & rainy (26) 27) On any given day of the whole year, what is the probability of it being rainy in Vancouver? 28) On any given day of the whole year, what is the probability of it not being rainy in Vancouver? 29) What is the name for the type of probabilities that are used in the second column of branches (weather) of this probability tree? 30) Use probability annotation (ex: Pr[...]) to describe the probability of it being rainy given that it is a fall-winter day.

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In Vancouver, Canada the probability of rain during a fall-winter day (FW) is 0.58, and during a spring-
summer day (SS) the probability of rain is 0.25. For this problem, consider the probability of a day being
either fall-winter (FW) or spring-summer (SS) in Vancouver as equal (0.5) during the year.
Use this information to fill out the following probability tree; for each number on the tree branches or
end points, write the corresponding probability for that branch or end point on the answer sheet:
seasons
SS (17)
FW (18)
weather
not rainy (19)
rainy (20)
not rainy (21)
rainy (22)
combination
SS & not raining (23)
SS & rainy (24)
FW & not rainy (25)
FW & rainy (26)
27) On any given day of the whole year, what is the probability of it being rainy in Vancouver?
28) On any given day of the whole year, what is the probability of it not being rainy in Vancouver?
29) What is the name for the type of probabilities that are used in the second column of branches
(weather) of this probability tree?
30) Use probability annotation (ex: Pr[...]) to describe the probability of it being rainy given that it is a
fall-winter day.
Transcribed Image Text:In Vancouver, Canada the probability of rain during a fall-winter day (FW) is 0.58, and during a spring- summer day (SS) the probability of rain is 0.25. For this problem, consider the probability of a day being either fall-winter (FW) or spring-summer (SS) in Vancouver as equal (0.5) during the year. Use this information to fill out the following probability tree; for each number on the tree branches or end points, write the corresponding probability for that branch or end point on the answer sheet: seasons SS (17) FW (18) weather not rainy (19) rainy (20) not rainy (21) rainy (22) combination SS & not raining (23) SS & rainy (24) FW & not rainy (25) FW & rainy (26) 27) On any given day of the whole year, what is the probability of it being rainy in Vancouver? 28) On any given day of the whole year, what is the probability of it not being rainy in Vancouver? 29) What is the name for the type of probabilities that are used in the second column of branches (weather) of this probability tree? 30) Use probability annotation (ex: Pr[...]) to describe the probability of it being rainy given that it is a fall-winter day.
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