Question

The local weather forecast has been accurate for 15 of the past 39 days. Based on this​ fact, what is the relative frequency probability that the forecast for tomorrow will be​ accurate?

The relative frequency probability that the forecast for tomorrow will be accurate is ___​
(Type an integer or decimal rounded to the nearest thousandth as​ needed.)

Answer 1

The number is 0.38461538461.

Answer 2

We know that the local weather forecast has been accurate for 15 of the past 39 days. Thus, the probability of accuracy for the past 39 days is:

$P(past)=\frac{15}{39}$.

Based on this​ fact, we have to find the relative frequency probability of the accuracy of the forecast for tomorrow.

Now, based on the information and data given in the questions we can safely conclude that the probability of the accuracy of the future forecast will be the same as the probability of the past 39 days.

Thus, probability for tomorrow's accuracy is:

$P(tomorrow)=\frac{15}{39}\approx 0.385$ (decimal rounded to the nearest thousandth )