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CameronVand21
20.07.2019 •
Mathematics
Tyra is buying a ps4 for $300 she also plans on buying games each game will cost tyra $60., write a slope intercept formula
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Ответ:
Ответ:
The probability that it rains in Spain when hurricanes happen in Hartford is 0.1127
Step-by-step explanation:
This is a question where you use must use Bayes' Theorem.
The easiest way to do Bayes' type questions is to carefully define your terms.
Let R be the event that it is raining in Spain. R' is the event it isn't.
Let H be the event that it is hurricane in Hartford. H' is the event it isn't.
We know
P(R) = 1/10,
P(H | R) = 0.08,
P(H | R') = 0.07 and we want P(R | H).
Bayes Theorem says P(R | H) = [P(H | R)×P(R)] / P(H)
where
P(H) = P(H | R)×P(R) + P(H | R')×P(R')
Therefore,
P(R | H) = [P(H | R)×P(R)] / [P(H | R)×P(R) + P(H | R')×P(R')]
P(R | H) = [0.08 × 1/10] / [(0.08 × 1/10) + (0.07 × (1 - 1/10)]
P(R | H) = 8 / 71
P(R | H) = 0.1127
Therefore, the probability that it rains in Spain when hurricanes happen in Hartford is 0.1127.