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.

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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.   

 

Expert Solution
Step 1

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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