Recent content by 80past2

  1. 8

    When does difference in sample size become an issue?

    I was comparing two different groups, and in one, my n was 1600, and the other n was around 700. I found pretty much all significant differences, but is that maybe due to sample size. I tried doing a random selection making the sample sizes equal (both around 700) and got more or less the same...
  2. 8

    How Do You Find the First and Second Derivatives of These Functions?

    What do you have so far? Where are you getting stuck?
  3. 8

    How Do You Find the First and Second Derivatives of These Functions?

    I mistyped (that g(x) should have been g(x)=x^2 - 16 [not sure how I messed that one up]), but you seem to know what you're doing. What specific question do you have?
  4. 8

    How Do You Find the First and Second Derivatives of These Functions?

    okay, so if f(x) = x^2 and g(x) = x^-2, what is the derivative of f(x)/g(x)?
  5. 8

    How Do You Find the First and Second Derivatives of These Functions?

    For the first one, what is the derivative of f(x)/g(x)? In general, not for this specific function.
  6. 8

    Probability mass function for a coin toss

    The probability of getting one head is p, right? What's the probability of getting two heads? Write out the different possibilities, of all the coin tosses. i.e. you can get two heads, a head or tail, a tail or head, or two heads. What are the associated probabilities for each of these conditions?
  7. 8

    Probability mass function for a coin toss

    Since they don't tell what you what the bias is, you can kind of ignore it. All you know is that the probability is p. What if you tossed a fair coin 10 times? What is the probability of getting x heads?
  8. 8

    Can Infinite Intersections of Open Sets in Metric Spaces Be Closed?

    What happens if M = R, and Ui = the open ball of radius 1/i centered at 0?
  9. 8

    Intro to Analysis (Boundedness of Cauchy)

    So take a peek at the reverse triangle inequality. There's another one, like you have, but a little different. But if we know that we can some large a_n, well, since {a_n} is unbounded, there exists some |a_m| > |a_n|, right? Then certainly there's some |a_m| > |a_n| + 1?
  10. 8

    Intro to Analysis (Boundedness of Cauchy)

    The same way you found n. You know that {a_n} is unbounded, so for any B, there exists something greater than it, right? well, what about a_n? Shouldn't there be something greater than a_n? Also, look at some consequences of the triangle inequality.
  11. 8

    Trying to use product rule on complicated function

    You have to use the chain rule where it is required. This will be the case if your function f(x) = g(h(x)). Then f'(x) = g'(h(x))*h'(x). THIS IS ALWAYS THE CASE, assuming that g(x) and h(x) are differentiable. Consider f(x) = a^u(x). by the property of the chain rule, and the exponential rule...
  12. 8

    Normal Probability Distributions :

    Φ is the normal cdf function. Φ(x) gives you the area to the left of x in a normal distribution. since the whole area is 1, and Φ(-2.5) = .345, then the area to the right of -2/5 is .655. earlier when you were got the 74. something years, that meant that 70% of people live 0 to 74.whatever years.
  13. 8

    Trying to use product rule on complicated function

    Well, if the two are equal, then you can certainly go between them. Just go backwards from what you did to get the result they want. I'm still confused about what you mean by using the product rule and exponential rule. You don't have much of a choice of when you get to use one or the other. You...
  14. 8

    Linear Dependence of f and g on 1<x<∞

    Maybe I'm misunderstanding the question, but it seems to me that all you have to do is see whether they are linear combinations of each other. does y1(x) = a*y2(x) for all x in the domain, for some constant a?
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