QUESTION IMAGE
Question
select the correct answer from the drop - down menu. a classroom monitors chicken eggs in various temperatures. the table shows the class’s recorded results. using the data in the table, a conclusion is made by calculating probabilities related to a randomly selected egg.
| cool | room temperature | warm | total | |
|---|---|---|---|---|
| unhatched | 18 | 10 | 4 | 32 |
| total | 23 | 26 | 25 | 74 |
based on the information, which statement about the eggs is correct? given the egg has drop - down menu with options hatched, not hatched, the egg was kept warmer than room temperature.
Step1: Calculate conditional probability for hatched
First, find the probability that an egg was kept warm given it hatched:
$\text{Probability} = \frac{\text{Warm and Hatched}}{\text{Total Hatched}} = \frac{21}{42} = 0.5$
Step2: Calculate conditional probability for unhatched
Next, find the probability that an egg was kept warm given it did not hatch:
$\text{Probability} = \frac{\text{Warm and Unhatched}}{\text{Total Unhatched}} = \frac{4}{32} = 0.125$
Step3: Compare probabilities
The probability is higher (0.5) for hatched eggs being kept warm, so the correct option is "hatched".
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hatched