Question

This week Next week Snow 0.42 Suppose a weather forecast reports that the probability of snow this week is 0.35. The forecast states that if it snows this week, the probability that it snows next week is 0.42. If it does not snow this week, the probability that it snows next week is 0.25. The tree diagram depicts the possible weather event outcomes with the associated probabilities. What is the probability that it will snow next week? Provide your answer with precision to two decimal places P(snow next week) Snow 0.35 0.58 - No snow Snow 0.25 0.65 No snow 0.75 No snow

Answer 1

Let, Å be the event of showing this week next B be the event of showing ::PCA) - 0-35 week. P (BIA) = 0.42 (BIA") p -0.25 Now, P(ANB) P(BIA) PCA) -0.35 X 0.42 0.147 = PC814C) P(BSAC) PC P®) - P(AND) => 0:25 1-PCA) PC) -0.147 1 -0.35 >) 0.25 - 0.162570.147 » PC@ - 0.3095 Answer