Question

An island nature preserve brings in 112 NA warblers112 NA warblers and 452 SA warblers.452 SA warblers. Out of the 112 NA birds,112 NA birds, 55 have long plumage. Out of the 452 SA warblers,452 SA warblers, 75 have long plumage. After the birds from the combined populations mate randomly, the island population produces 1000 offspring. Calculate the number of these offspring that are expected to have long plumage. Round the number to two significant figures.

Answer 1

To calculate the number of offspring with long plumage, we determine the proportion of offspring with long plumage from each population and then multiply it by the number of offspring. The expected number of offspring with long plumage is approximately 491 from the NA population and 166 from the SA population.

Step-by-step explanation:

To calculate the number of offspring with long plumage, we need to calculate the proportion of offspring with long plumage from each population and then multiply it by the number of offspring. Firstly, we calculate the proportion of offspring with long plumage from the NA population: 55/112 = 0.491. Then, we calculate the proportion of offspring with long plumage from the SA population: 75/452 = 0.166. Finally, we multiply these proportions by the total number of offspring (1000) to get the expected number of offspring with long plumage: 0.491 x 1000 = 491 and 0.166 x 1000 = 166. So, we can expect approximately 491 offspring from the NA population and 166 offspring from the SA population to have long plumage.