Question

4. + -/12.5 points WaneFMAC7 8.6.011. My Notes Suppose that it snows in Greenland an average of once every 27 days, and when it does, glaciers have a 27% chance of growing. When it does not snow in Greenland, glaciers have only a 7% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing? (Round your answer to four decimal places.)

Answer 1

Given,

P(Snow) = 1/27

So P(Not snow) = 1 - 1/27 = 26/27

P(Glacier grow | Snow) = 0.27

P(Glacier grow | Not snow) = 0.07

Hence by Bayes' theorem:

P(Snow | Glacier grow)

(1/27) + 0.27 (127) + 0.27 + (26/27) * 0.07

= 0.1292