Question

An island nature preserve brings in 72 NA warblers and 252 SA warblers. Out of the 72 NA birds, 55 have long plumage. Out of the 252 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

401 of these offspring are expected to have long plumage.

To calculate the number of these offspring that are expected to have long plumage the following cross multiplication calculation must be performed:

• Total birds = 72 + 252 = 324
• Long plumage birds = 55 + 75 = 130  
• 324 = 130
• 1000 = X
• 1000 x 130/324 = X
• 130000/324 = X
• 401.23 = X

Therefore, 401 of these offspring are expected to have long plumage.

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