Question

When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 20% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 44 of the dragon eggs to incubate. Consider all the possible samples of 44 dragon eggs.

What is the usual number of yellow eggs in samples of 44 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs =

Answer 1

Let the no. of eggs be representing the p - chart where p represents the fraction of eggs in yellow. As given in the question , n = 44 and p = 0.2 Usual number of eggs = Mean of the data = np = 44 (0.2) = 8.8 Rounding it off , it gives 9 eggs Usual maximum = USL = n (p + 3 squareroot p (1 - p)/n) = 44 (0.2 + 3 squareroot 0.2 times 0.8/44) = 44 (0.2 + 0.1809) = 16.75989950 almostequalto 17 eggs Usual - minimum = LS L = n (P - 3 squareroot P (1 - p)/n) = 44 (0.2 - 3 squareroot 0.2 times 0.8/44) = 0.1400 eggs almostequalto 0 eggs.