Let's go through the data provided in the table step by step.
The table is about the number of hatched and unhatched chicken eggs under three different temperature conditions: Cool, Room Temperature, and Warm.
### Step-by-Step Breakdown:
1. Total Hatched Eggs:
- Cool: 5
- Room Temperature: 16
- Warm: 21
- Total Hatched: [tex]\( 5 + 16 + 21 = 42 \)[/tex]
2. Total Unhatched Eggs:
- Cool: 18
- Room Temperature: 10
- Warm: 4
- Total Unhatched: [tex]\( 18 + 10 + 4 = 32 \)[/tex]
3. Total Eggs (Hatched and Unhatched Combined):
- Cool: 23
- Room Temperature: 26
- Warm: 25
- Total Eggs: [tex]\( 23 + 26 + 25 = 74 \)[/tex]
### Probability Calculation:
We are interested in the probability that a given egg was kept warmer than room temperature given that the egg has hatched.
1. Total Hatched Eggs (Already Calculated): 42
2. Number of Hatched Eggs kept Warmer than Room Temperature: 21
3. Probability that a given hatched egg was kept warmer than room temperature:
[tex]\[
\text{Probability} = \frac{\text{Number of Hatched Eggs kept warmer than Room Temperature}}{\text{Total Number of Hatched Eggs}}
\][/tex]
[tex]\[
\text{Probability} = \frac{21}{42} = 0.5
\][/tex]
Given this result, we conclude:
Statement:
Given the egg has hatched, the egg was kept warmer than room temperature.
Thus, you should select "hatched" in the drop-down menu.
