binomial distribution

Today in class we learned the difference between uniform distribution: all the probabilities are the same, binomial experiment: has success or failure, binomial distribution: results of the experiment.
we went over how to find the binomial distribution.
1. [2nd] [vars] go to binompdf (0)
2. First number= trials [,] second number= probability of success on each trial [enter]
3. [sto->] [2nd] [2] to get L2 [stat] [enter]
4. [2nd] [y=] [enter] turn on the first graph, make sure you select a histogram graph, make frequency L2
5. [window] change window to what you need for that particular graph [graph]
** note : look over pages 98-102 and page 349 **
the following MUST BE TRUE to make it a binomial distribution:
1. The experiment consists of n identical trials
2. Each trial results in one of two outcomes: the outcomes are often called a "success" (S) and a failure (F)
3. Probability of a success on a single trial is equal to P and remains the same from trial to trial. The probability of a failure is Q=1-P
4. The trials are independent.
5. The random variable of interest is Y, the number of successes observed during n trials.

Mean, Median and mode

Today in our Applied Math class room we started our new unit. Stats & Variability was the topic that we went over. We started the class off by reviewing what the mean, median and mode meant and how to solve for them. Also we looked at a frequency list used for larger amounts of data.
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To calculate for the MEAN( X ) we learned the following example:
34 40 36
36 38 38
32 36 36
42 34 44
In order to find the mean you add up the table above, and divide by how many numbers there are in the chart above. ex. 446/12=37.17

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To calculate for the MEDIAN( X ) we learned the following:
Median means middle number, If the number of terms given is even then find the middle of the two given terms.
^
To calculate for the MODE( X ) we learned:
Mode means most common number. If a number appears more then once there is your answer. To figure out on the calculator if you are given a more challenging question then the steps you take are listed below.
[stat] [edit or 1] [enter your numbers into the chart and delete any unwanted 0's or numbers] [2nd] [quit]. [stat] [--> or calc] [1 or 1-var stats] [2nd] [1] [enter] [ the down arrow changes your terms]

NEVER use the 2-Var Stats button under stat/ calc

Matricies WYNK - What You Need to Know

This is the WYNK for Network and Transition Matrices

work period

So, today we had a work period. We were told that our matrices test is on Tuesday. Today we worked on a handout test review. We also had time to work on our unit project, food web. Yes also I beat Rebecka S. at rock paper scissors.

example question: Wendy drives an old car. if it starts easily today, the probability that it will start easily tomorrow is 0.9. if it does not start easily today, the probability that it will start easily tomorrow is oly 0.85. write the transition matrix for the situation.


also here is the answer for number 4

click here for the PDF of the notes from today

Network Problems

Today in class we learned how to solve network problems with Matrices. The textbook examples can be found on page 72. The work that was assigned can be found on page 76, numbers 1-6. The example used in the text book was as follows:

y=YellowKnife
I=Inuvik
NW=Norman Wells
RI=Rankin Inlet
W=Whitehorse


Y I NW RI W Y I NW RI W
y 0 1 1 1 1 o 1 1 1 1
I 1 0 1 0 0 = A= 1 0 1 0 0
NW 1 1 0 0 0 1 1 0 0 0
RI 1 0 0 0 0 1 0 0 0 0
W 1 0 0 0 0 1 0 0 0 0

*You can travel directly from Inuvik to Norman Wells, but you have to go through Yellowknife to get from Norman Wells to Rankin Inlet.

*This network can be summerized in a table or matrix. An entry of 1 indicates that direct travel from a given city to another is possible. The entry 0 indicates that direct travel from a given city to another is not possible. The order in which the cities are listed in the matirx does not matter as long as the order is the same vertically and horizontally.

Things that happened

Today things happened. the end.

We learned about initial probability matrix which is called Po and is ALWAYS A ROW MATRIX! These are used to calculate probability over time. In order for them to work we need to make a transition matrix which are always SQUARES. They are represented by the letter T. So the entire class today was about PoT. The forumula is Pn=Po*Tn. We also discused the value of going to the dentist/school.