Question

pre - algebra ic sem 2 fall 2025
experimental vs. theoretical probability
modeling a weather forecast
the weather forecast for next season calls for a 10% chance of wind, a 20% chance of rain, a 30% chance of clouds
and a 40% chance of sunshine. if there are 90 days in the season, what is the predicted frequency for each type of
weather?
wind is predicted for ∇ days.
rain is predicted for ∇ days.
cloudiness is predicted for ∇ days.
sunshine is predicted for ∇ days.

Explanation:

Step1: Calculate days for sunshine

The chance of sunshine is \(40\%\), and the total number of days is \(90\).

$$ 90\times40\%=90\times0.4 = 36 $$

Step2: Calculate days for clouds

The chance of clouds is \(30\%\), and the total number of days is \(90\).

$$ 90\times30\%=90\times0.3=27 $$

Step3: Calculate days for rain

The chance of rain is \(20\%\), and the total number of days is \(90\).

$$ 90\times20\%=90\times0.2 = 18 $$

Step4: Calculate days for wind

The chance of wind is \(10\%\), and the total number of days is \(90\).

$$ 90\times10\%=90\times0.1=9 $$

Answer:

Sunshine is predicted for \(36\) days. Cloudiness is predicted for \(27\) days. Rain is predicted for \(18\) days. Wind is predicted for \(9\) days.