Question

A student is taking a biology class that studies animal behavior and is assigned the following research: In a certain species (mallards), male ducks have green heads and females are a plain color. Probably the purpose of the green coloring of the male heads is to attract the females. The question is: are female ducks also attracted to the green color in food, for example in bread?

4) Suppose the biology student finds that 9 of the 10 female ducks sampled prefer the green bread. So p=0.5 and p-hat=0.9. If female ducks are really indifferent to plain versus green bread, what is the probability that 9 female ducks in a sample of 10 would pick the green bread first just by chance? Use the distribution below to determine you answer, enter all six decimal places!

x	p(x)
0	0.000977
1	0.009766
2	0.043945
3	0.117188
4	0.205078
5	0.246094
6	0.205078
7	0.117188
8	0.043945
9	0.009766

10

0.000977

Answer 1

So P(Y = 9) = 0.009766

So probability that 9 out of 10 female prefer green bread by chance = 0.009766