To determine the probability that it rained on a day when the temperature was less than 80°F, we refer to the conditional relative frequency table for the specific values provided.
Here's a detailed, step-by-step solution:
1. Identify the condition:
We are given that the temperature is less than 80°F.
2. Locate the corresponding row:
From the table, find the row where the temperature is "Less than 80°F".
3. Read the probabilities in that row:
In the row labeled "Less than 80°F," we see two probabilities:
- The probability of rain: [tex]\(0.3\)[/tex]
- The probability of no rain: [tex]\(0.7\)[/tex]
4. Determine the required probability:
We need the probability that it rained given the temperature is less than 80°F. According to the table:
- Probability (Rain | Temperature < 80°F) = [tex]\(0.3\)[/tex]
Thus, the probability that it rained on a day when the temperature was less than 80°F is [tex]\(0.3\)[/tex]. The correct answer is:
[tex]\[ \boxed{0.3} \][/tex]
