Final answer:
The relative frequency probability that the weather forecast for tomorrow will be accurate is approximately 51.35%, based on the forecast being accurate 19 out of 37 days in the past.
Step-by-step explanation:
The relative frequency probability that the local weather forecast for tomorrow will be accurate is calculated by dividing the number of days the forecast was accurate by the total number of days observed.
In this case, the weather forecast has been accurate for 19 out of 37 days.
Therefore, the relative frequency probability is calculated as follows:
Probability = Number of accurate forecasts / Total number of days
Probability = 19 / 37 ≈ 0.5135
So, the relative frequency probability that the forecast for tomorrow will be accurate is approximately 0.5135 or 51.35%.