Recent content by giddy
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Figure out summation(x^2) in summation equation[Simple]
aha.. ok so i didn't even know how to really solve summation equations, but I looked it up. So Sum(x^2) = 34735178! And its correct... =)- giddy
- Post #6
- Forum: Calculus and Beyond Homework Help
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Figure out summation(x^2) in summation equation[Simple]
Sorry I am not sure what you mean =S If I do expand (x - 500)^2 it'll be x^2 - 2(500)(x) + 500^2 Right? So where would I get sum of x? How would I expand sum(x^2)- giddy
- Post #3
- Forum: Calculus and Beyond Homework Help
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Figure out summation(x^2) in summation equation[Simple]
Hi, So this is just part of my problem but its got me stumped for days and I can't ignore it since its popping up too often in my problems. Homework Statement For A sample of 140 bags of flour. The masses of x grams of the contents are summarized by \sum (x - 500) = -266 and \sum...- giddy
- Thread
- Figure Summation
- Replies: 5
- Forum: Calculus and Beyond Homework Help
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Problems applying the central limit theorem
Sorry, I can be very distracted(Was diagnosed with ADD symptoms but the meds didn't do much) So the second part of what HallsofIvy's post says about the central limit theorem isn't in my book.The part where the sum of the probabilities is mean * n and the SD is sqrt{n * SD}. So that seems to...- giddy
- Post #11
- Forum: Calculus and Beyond Homework Help
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Problems applying the central limit theorem
yea, I understand. I just wanted to know how to approach the problem. I've tried a few random things. I just tried applying : X \sim N(\mu,\frac{\sigma^2}{n}) for P( X > 200) = 200-2.25/\sqrt{2.25/100} = -1318.33 Which can't be standardized. Also, trying T = probability of total number of...- giddy
- Post #9
- Forum: Calculus and Beyond Homework Help
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Problems applying the central limit theorem
hey, thanks so much. Seems the problem with the next 2 problems was post #4. But what about the second part of the problem... the next problem in my book is similar and I don't even know how to approach it. A rectangular field is gridded into squares of side 1m. At one time of the year the...- giddy
- Post #7
- Forum: Calculus and Beyond Homework Help
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Problems applying the central limit theorem
\phi(z) That would be finding the probability after standardizing X to Z so Z ~ N(0,1) there's a table I have in the back of my book where i look up the probability then. Thanks that's correct...but its a little off from the answer: P(Z < -0.980) = 1 - phi(0.980) 1 - 0.8363 = 0.1637 The...- giddy
- Post #5
- Forum: Calculus and Beyond Homework Help
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Problems applying the central limit theorem
hi.. yes I did mean variance... 1/24 = 0.41666... Comes up close to the same thing... 3.5-3.3/0.2041 = 0.9799 P(Z < 0.9799) = 0.8368.. still not close to 0.155- giddy
- Post #3
- Forum: Calculus and Beyond Homework Help
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Problems applying the central limit theorem
So from what I understand, the central limit theorem allows us to calculate the probability of the mean of a number of independent observations of the same variable. I probably have not understood something because I can't really solve any of the problems just based on the formula give...- giddy
- Thread
- Central limit theorem Limit Theorem
- Replies: 10
- Forum: Calculus and Beyond Homework Help
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Evaluating infinite integral for probability density functions
ah, ok I understood quite a bit from that. But there is still just one more problem... f(x) =\frac{1}{4}(1 -\frac{x}{8}) for 0 <= x <= 8, 0 otherwise. Find P(X > 6) So after integration \int_{6}^{\infty }\frac{1}{4}(1 -\frac{x}{8}) dx it turns into (\frac{x}{4} - \frac{x^2}{64})...- giddy
- Post #8
- Forum: Calculus and Beyond Homework Help
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Evaluating infinite integral for probability density functions
Repeat Post!- giddy
- Post #6
- Forum: Calculus and Beyond Homework Help
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Evaluating infinite integral for probability density functions
That makes sense... ok What about situations with a minus infinity and limits that tend to infinity. Like f(x) = \frac{1}{15}(x^2 + 2x) find P(X<1.5) \int_{-\infty}^{1.5} f(x) dx In this case I can see it would tend to zero but what if x were on the denominator? The expression would tend to...- giddy
- Post #5
- Forum: Calculus and Beyond Homework Help
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Evaluating infinite integral for probability density functions
Im sorry I just used to 4x because when I type the equations in my book the latex just gets messed up (Spent about 20 mins on last post) What I really want to understand is how to evaluate an integral when its infinite. I'm going to write integration from a to b as I(a,b) ? Printer cartridge...- giddy
- Post #3
- Forum: Calculus and Beyond Homework Help
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Evaluating infinite integral for probability density functions
Homework Statement So I understand how to evaluate P(4 < X < 6) where the probability density function is f(x)=4x I can't seem to understand how to evaluate P(X>6) I would have to do something like \int^6_\infty 4x ... so how do I evaluate it? Homework Equations The Attempt at a Solution The...- giddy
- Thread
- Density Functions Infinite Integral Probability Probability density
- Replies: 8
- Forum: Calculus and Beyond Homework Help
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Variance of Linear combination of random variable
hey your right! So I used a2Var(X) and got 0.129 by making other basic math errors too, and thought it was close enough to the answer --> 0.127 P(V > 0) V ~ N(-10,77) P(V > 0) = P(Z > (0-(-10)/\sqrt{77}) = P(Z > 1.1396) = 1 - \Phi(1.1396) = 1-0.8726 = 0.1274 \cong 0.127 Thanks so...- giddy
- Post #16
- Forum: Precalculus Mathematics Homework Help