Calculus for Biologists Lab
Math 1180-002
Spring 2012
Assignment #11 - Binomial Distribution and Normal Approximation
Report due date: Tuesday, April 10, 2012 at 9 a.m.
? Please number your responses to each problem in your write-up.
1. Include Plot 11.1 from lab 11.
(a) Re-execute the script from lab 11, this time assigning bp a value of 15. Ensure consistency with the
rest of the code. (This is another reason to use variables instead of numbers whenever practical and
feasible.) Include the resulting plot here.
(b) Describe in detail the similarities and differences in these two plots.
(c) Explain any differences you mentioned in exercise 1b.
1
. Ensure consistency with the rest of the
2. Now keep bp = 15, but also change p to have a value of of 20
code. Re-execute your script with the new parameters, and include the resulting plot here.
(a) What is the equilibrium fraction of base pairs that exhibit at least one mutation in this case?
(b) What do you notice about the normal approximation for this figure?
(c) Explain this result.
? Save your report as a .pdf file and upload it to Blackboard.
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