In: Statistics and Probability
10. Weather forecast : athe table below indicates the accuracy of a local weather report with respect to rain or no rain over the past year. This table gives the results of 365 consecutive days and compares whether it rained or not to whether or not rain was predicted.
Did it actually rain?
yes No Report predicted Rain 102 18 Report predicted No Rain 40 205
If one day is randomly selected from these 365 days, what is the probability that
a. the prediction was correct.
b. it rained given that it was predicted to rain (This is called true-positive).
c. it did not rain when it was predicted not to rain. (This is called a true-negative).
d. Based on this results is this weather forecast better at predicting rain or better at predicting no rain?