According to weather data records from Vancouver International Airport (since 1981), there is some precipitation (rain or snow) on 46.25% of all days in Vancouver. If you randomly select 7 days since 1981, what is the probability that there is some rain or snow on 4 or more of those days? (Assume the 7 days are independent.) State your answer rounded to four decimal places.
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.
According to weather data records from Vancouver International Airport (since 1981), there is some precipitation (rain or snow) on 46.25% of all days in Vancouver.
If you randomly select 7 days since 1981, what is the
Let, X= number of days of rain or snow
n= number of observations= 7
p= probability of success= 46.25%= 0.4625
Probability of failure=1-p= 1- 0.4625 =
So, X follows binomial distribution with n=7 and p=0.4625
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