Seattle Mariners are playing a game. It usually rains on avg 30% of game days. When it rains, 85% of the time weather forecast was for rain, on days with no rain only 20% of the time rain was forecasted. What's the probability that it rains on a game day given that the weather forecast predicts rain on that day.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Seattle Mariners are playing a game. It usually rains on avg 30% of game days. When it rains, 85% of the time weather forecast was for rain, on days with no rain only 20% of the time rain was forecasted. What's the
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Given that,
P(rain) = 0.30
P(no rain) =1-0.30=0.70
P(forecast predict rain| rain)=0.85
P(forecast predict rain| no rain)=0.20
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