Hello Guyz!.. In today’s class during the morning period we submitted our individual deadlines for our project (DEVELOPING EXPERT VOICES) and after that we started discussing about the new unit called STATISTICS. Statistics is the branch of mathematics that deals with the collection, organization, and interpretation of data. You noticed that our previous unit Probability has a connection to our new unit Statistics. These concepts will be combine to work with the Probability Distributions where the probability distributions gives the theoretical probability of each outcome of an experiment…

Then in the afternoon class we did an experiment where Mr. K gave us 4 coins and we toss it 12x and some toss it 13x to be a total of 200 trials, these experiments tells us the probability of having 4 all girls in a family.

THEORETICAL PROBABILITY

Having 0 girls --- P(0G) = 4! (1/2)^4 = 1 = 6.25%

4! 16

Having 1 girl -----P(1G) = 4! (1/2)(1/2)^3 = 4 = 25%

3! 16

Having 2 girls ----P(2G) = 4! (1/2)^2(1/2)^2 = 6 = 37.5%

(2!2!) 16

Having 3 girls ----P(3G) = 4! (1/2)^3(1/2) = 4 = 25%

3! 16

Having 4 girls ----P(4G) = 4! (1/2)^4 = 1 = 6.25%

4! 16

EXPERIMENTAL PROBABILITY

# Of Girls

0 = 18 18 = 9%

200

1 = 51 51 = 25.5%

200

2 = 69 69 = 34.5%

200

3 = 54 54 = 27%

200

4 = 10 10 = 5%

200

a total of 200 trials

We did this experiment 200x for our experimental probability to be close to our theoretical probability. Then we graph it to our calculator so we could see the difference of each one... just refer to the slide for the graph....

I gues thats it for me... and the next scribe will be cRiS_J

GuDLuCk oN tOmOrrOw's tEsT....

## Monday, March 12, 2007

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Hi, jOweLL,

ReplyDeleteI am slightly confused about your formulas in calculating theoretical and experimental probabilities. The answer you get doesn't follow from the formula you give. And there are some lines for which I don't know where they came from.

Also, I have a challenge for you. It seems to be equally probable to have no girls as it is to have 4. Also, it seems that having 1 girl is equally probable as having 3. Do you know why that is?

I hope the test went well!

sorry if my scribe is confusing I was in a hurry when I did that....

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