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Suppose that it snows in Greenland an average of once every 29 days, and when it

ID: 3321886 • Letter: S

Question

Suppose that it snows in Greenland an average of once every 29 days, and when it does, glaciers have a 29% chance of growing. When it does not snow in Greenland, glaciers have only a 8% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing? (Round your answer to four decimal place Suppose that it snows in Greenland an average of once every 29 days, and when it does, glaciers have a 29% chance of growing. When it does not snow in Greenland, glaciers have only a 8% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing? (Round your answer to four decimal place

Explanation / Answer

P(snow)=1/29

P(no snow)=1-1/29=28/29

P(growing | snow)=0.29

P(growing | no snow)=0.08

P(growing)=P(growing | snow)*P(snow)+P(growing | no snow)*P(no snow) = 0.29*(1/29)+0.08*(28/29)=0.0872

P(snow | growing)=P(growing | snow)*P(snow)/P(growing)=0.29*(1/29)/0.0872=0.11468

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