Tonight, please complete the AP problem provided in class (or below). (This AP problem does not have anything to do with simulations!). I'm definitely checking! If you get stuck you can find the rubric for this problem online! Do some google research to check your answers/get some guidance!
Homework: AP Free Response 2004
At an archaeological site
that was an ancient swamp, the bones from 20 brontosaur skeletons have been
unearthed. The bones do not show any sign of disease or malformation. It is
thought that these animals wandered into a deep area of the swamp and became
trapped in the swamp bottom. The 20 left femur bones (thigh bones) were located
and 4 of these left femurs are to be randomly selected without replacement for
DNA testing to determine gender.
a.
Let X be the number out of the 4 selected left
femurs that are from males. Based on how these bones were sampled, explain why
the probability distribution of X is not binomial.
b.
Suppose that the group of 20 brontosaurs whose
remains were found in the swamp had been made up of 10 males and 10 females.
What is the probability that all 4 in the sample to be tested are male?
c.
The DNA testing revealed that all 4 femurs
tested were from males. Based on this result and your browser from part (b), do
you think that males and females were equally represented in the group of 20
brontosaurs stuck in the swamp? Explain.
d.
Is it reasonable to generalize your conclusion
in part (c) pertaining to the group of 20 brontosaurs to the population of all
brontosaurs? Explain why or why not.
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