Question

select the correct answer from the drop - down menu.
a classroom monitors chicken eggs in various temperatures. the table shows the classs 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, the egg was kept warmer than room temperature.

Explanation:

To solve this, we calculate conditional probabilities for hatched and unhatched eggs in warm (warmer than room temp) and compare with room temp.

Step 1: Probability for Hatched Eggs

• Total hatched: \( 42 \)
• Hatched in warm: \( 21 \)
• Probability (hatched | warm) = \( \frac{21}{25} = 0.84 \)
• Hatched in room temp: \( 16 \)
• Probability (hatched | room temp) = \( \frac{16}{26} \approx 0.615 \)
• \( 0.84 > 0.615 \), so hatched eggs are more likely in warm.

Step 2: Probability for Unhatched Eggs

• Total unhatched: \( 32 \)
• Unhatched in warm: \( 4 \)
• Probability (unhatched | warm) = \( \frac{4}{25} = 0.16 \)
• Unhatched in room temp: \( 10 \)
• Probability (unhatched | room temp) = \( \frac{10}{26} \approx 0.385 \)
• \( 0.16 < 0.385 \), so unhatched eggs are less likely in warm.

The correct statement is: Given the egg has hatched, the egg was kept warmer than room temperature. So the drop - down should be filled with "hatched".

Answer:

hatched