Question

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 wind days

To find the number of days with wind, we use the formula: \( \text{Number of days} = \text{Total days} \times \text{Probability} \). Given total days = 90 and probability of wind = 10% = 0.1. So, \( 90 \times 0.1 = 9 \).

Step2: Calculate rain days

Using the same formula, probability of rain = 20% = 0.2. Then, \( 90 \times 0.2 = 18 \).

Step3: Calculate cloudiness days

Probability of cloudiness = 30% = 0.3. So, \( 90 \times 0.3 = 27 \).

Step4: Calculate sunshine days

Probability of sunshine = 40% = 0.4. Then, \( 90 \times 0.4 = 36 \).

Answer:

Wind: 9 days, Rain: 18 days, Cloudiness: 27 days, Sunshine: 36 days