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Unformatted text preview: [sklar\stat\hw.combo&Normal.doc] Tree and Normal Revised 09/14/10 NOTES:
1.
If more than one page, they must be stapled . If not, the homework absolutely will not count.
2.
Turn in at the
beginning of class OR WHEN YOU WALK IN IF LATE  BEFORE SITTING DOWN . Even though
I'm lecturing, still place the HW on my table when you enter the room.
Otherwise  the homework will not count.
3.
At the UPPER RIGHT of the top page put your YOUR CLASS ID IF IT HAS BEEN ASSIGNED,
then your course number (such as 285) and under that PRINT your name.
4.
See the website for due date.
ASSIGNMENT
1.
Give this a try – Do the best you can. Draw a tree as in class. There are 3 items: A1, A2, and B1.
We'll pick all 3 without replacement, one at a time.
a.
Draw the tree for the 3 items picked from 3. Hint: draw a tiny circle to start and draw 3 lines
from the little circle, one each for choosing A1, A2, and B1. At the end of each such line draw
another little circle and draw lines for possibilities which remain. At the end of each of these
lines draw a tiny circle and continue. Thus there are some lines for the first item drawn, some
lines for the second item drawn, and one or more (you decide) for what is left.
b.
Label each line with the item drawn.
c.
At the ends of the final lines, label the outcomes
d.
Show which of the outcomes pertain to Permutations.
e.
Use the formula to compute the number of Permutations.
f.
Use the formula to compute the number of Combinations.
2. You have a distribution of ages of stat students. The ages are distributed as X ~ N(20,4).
a.
Show work in using the formula to compute the probability of X being less than 23.7 .
b.
State the meaning of P(X<23.7): that is, what does this shortcut really mean?
c.
Draw the graph for the normal distribution and fill out everything: the label for the distribution
(X), the mean (symbol AND value), the area you find from the table, etc., as done in class.
Also, draw the Z axis and label the appropriate values on it.
d.
What is the pertinent area from the table? (This may or may not be the answer to the question
about the probability.) Be sure to show it on the normal graph. 3. Same distribution X ~ N(20,4).
a.
Show work in using the formula to compute the probability of X being less than 16.55 .
b.
State the meaning of P(X<16.55): that is, what does this shortcut really mean?
c.
Draw the graph for the normal distribution and fill out everything: the label for the distribution
(X), the mean (symbol AND value), the area you find from the table, etc., as done in class.
Also, draw the Z axis and label the appropriate values on it.
d.
What is the pertinent area from the table? (This may or may not be the answer to the question
about the probability.) Be sure to show it on the normal graph. ...
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This note was uploaded on 01/19/2012 for the course GEOL 123 taught by Professor Kim during the Winter '11 term at Bowling Green.
 Winter '11
 kim

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