Recent content by giddy

  1. G

    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... =)
  2. G

    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)
  3. G

    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...
  4. G

    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...
  5. G

    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...
  6. G

    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...
  7. G

    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...
  8. G

    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
  9. G

    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...
  10. G

    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})...
  11. G

    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...
  12. G

    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...
  13. G

    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...
  14. G

    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...
Back
Top