Question

1) Suppose that it snows in Greenland an average of once every 24 days, and when it does, glaciers have a 24% chance of growing. When it does not snow in Greenland, glaciers have only a 5% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing? (Round your answer to four decimal places.)

2) Suppose that it rains in Spain an average of once every 13 days, and when it does, hurricanes have a 4% chance of happening in Hartford. When it does not rain in Spain, hurricanes have a 2% chance of happening in Hartford. What is the probability that it rains in Spain when hurricanes happen in Hartford? (Round your answer to four decimal places.)

Answer 1

Answer:

1)

Probability that it snows in Greenland, P(S) = 1/24

= 0.04167

P(S') = 0.9583

Probability that glaciers grow when it snows,i.e.,

P(G|S) = 0.24

Probability that glaciers grow when it doesn't  snow, i.e.,

P(G|S') = 0.05

Probability that it is snowing in Greenland when glaciers are growing

consider,

P(S|G) = P(G|S) * P(S) / (P(G|S) * P(S) + P(G|S') * P(S'))

substitute the given values

P(S|G) = 0.24*0.04167 / (0.24*0.04167 + 0.05*0.9583)

P(S|G) = 0.1727

So the required probability is 0.1727

So same process for the another question also.