Question

question 2
how is the hatching of water python eggs influenced by the temperature of the snakes nest? researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral, or cold. hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother.

suppose we select one of the eggs at random.

a) given that the chosen egg was assigned to hot water, what is the probability that it hatched?

b) if the chosen egg hatched, what is the probability that it was not assigned to hot water?

Explanation:

Step1: Calculate total eggs in hot water

Total eggs in hot water = Hatched + Didn't hatch = \(75 + 29=104\)

Step2: Calculate probability of hatched given hot water

Probability \(P=\frac{\text{Hatched in hot}}{\text{Total in hot}}=\frac{75}{104}\approx0.721\)

Step3: Calculate total hatched eggs

Total hatched eggs = \(16 + 38+75 = 129\)

Step4: Calculate hatched eggs not in hot water

Hatched eggs not in hot water = \(16 + 38=54\)

Step5: Calculate probability of not in hot water given hatched

Probability \(P=\frac{\text{Hatched not in hot}}{\text{Total hatched}}=\frac{54}{129}=\frac{18}{43}\approx0.419\)

Answer:

a) \(\frac{75}{104}\approx0.721\)
b) \(\frac{18}{43}\approx0.419\)