Question

the conditional relative frequency table was generated using data that compared the outside temperature each day to whether it rained that day.
weather
rain no rain total
80° f or greater 0.35 0.65 1.0
less than 80° f 0.3 0.7 1.0
total ≈0.33 ≈0.67 1.0
given that it was less than 80° on a given day, what is the probability that it also rained that day?
0.3
0.35
0.65
0.7

Explanation:

Step1: Identify the relevant row

We need the row for "Less than \(80^\circ\text{F}\)".

Step2: Find the "Rain" value in that row

In the "Less than \(80^\circ\text{F}\)" row, the value under "Rain" is \(0.3\). This is the conditional probability we need since we are given the condition of temperature less than \(80^\circ\text{F}\).

Answer:

0.3