Question

The probability of snow throughout the year is 30%. The probability of it being above zero 0 degees Celsibs is a. The probebinty that it snows while the temperature is above 0 degrees Celsius is 0.06 . Given the formula P(H∣E)=P(H∩E)PE E what is the probability that it is snowing, given that the temperature is above 0 degrees Celsius? (Round to three decimsi places)

Answer 1

The probability that it is snowing, given that the temperature is above 0 degrees Celsius, is 0.20.

Step-by-step explanation:

The probability that it is snowing, given that the temperature is above 0 degrees Celsius can be found using the formula P(H|E) = P(H∩E)/P(E), where P(H|E) is the probability of snowing given that the temperature is above 0 degrees Celsius, P(H∩E) is the probability of snowing and the temperature being above 0 degrees Celsius, and P(E) is the probability of the temperature being above 0 degrees Celsius.

Given that P(H∩E) = 0.06 and P(E) = 0.30, we can calculate P(H|E) as follows:

P(H|E) = P(H∩E)/P(E) = 0.06/0.30 = 0.20.

Therefore, the probability that it is snowing, given that the temperature is above 0 degrees Celsius, is 0.20.