Question

weather suppose that it snows in greenland an average of once every 28 days, and when it does, glaciers have a 23% 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 places.)

Answer 1

Let's use Bayes' theorem:

P(snow|growing) = P(growing|snow) * P(snow) / P(growing)

We know that P(snow) = 1/28 and P(growing|snow) = 0.23. To find P(growing), we need to use the law of total probability:

P(growing) = P(growing|snow) * P(snow) + P(growing|not snow) * P(not snow)
= 0.23 * 1/28 + 0.08 * 27/28
≈ 0.085

Now we can plug in all the values to get:

P(snow|growing) = 0.23 * 1/28 / 0.085
≈ 0.0096

Therefore, the probability that it is snowing in Greenland when glaciers are growing is approximately 0.0096 (rounded to four decimal places).