Mathematics 210 - Spring term 2005 - Ninth assignment
This assignment is concerned with probability distributions,
mostly approximation by the normal.
It is due before class time Monday, April 5.
Go to the MathSheet home page
and then to the new applet page. Open a running
copy of the spreadsheet and return to this page.
Log in immediately: File/Log in. Your login id is your
Mathematics Department login name, and your password
is your student number. This allows you to save
and load spreadsheet files.
Save your work frequently.
To put it in simpler terms,
save your work frequently.
In this question you want to simulate tossing 5 coins 100 times.
Place in some carefully thought out way 500 random numbers
on a spreadsheet, in groups of 5. Convert these to constants.
Then in another 500 cells record these as 0 or 1.
Add up the score in each group, sort the scores, and make a bar graph
of the count of groups with scores of 0 to 5.
Save as m210.9.1.ms.
Read the notes on areas
under the wings of the normal function. Use the technique explained there
to give the integral from 0 to 5.13 of
the standard normal function, as accurately as you can.
Save as m210.9.2.ms.
Load your table of areas under the normal curve from the last assignment,
or make a new one, in steps of size 0.01
from 0 to 5. Use it if necessary to answer this question:
If you toss a single die 100 times, what is the probability of getting between
a total score of bewteen 300 and 400? Less than or equal to 250?
Save as m210.9.3.ms.
If you choose 500 numbers at random from the interval [0,1]
and then add them together, what is the probability of getting a total sum
of 300 or more?
Save as m210.9.4.ms.
If you find these questions confusing, please