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When dragons on planet Pern lay eggs, the eggs are either green or yellow. The b

ID: 3128238 • Letter: W

Question

When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 21% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.

What is the usual number of yellow eggs in samples of 58 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs

Explanation / Answer

From th einformation given, n=58 and p(yellow) is 0.21. Therefore, mean(np)=12.18 and standard deviation=sqrt npq

=sqrt 58*0.21*0.79=3.10.

Maximum usual number of yellow eggs=mean+2 sd= 12.18+2*3.10=18.38 (18) Answer

Minimum usual number of yello weggs=mean-2 sd=12.18-2*3.10=5.98 (6) Answer.

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