Recent content by matrix_204

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    Solving T-Distribution Problems: Finding K and Degrees of Freedom

    I had a homework problem which I'm having trouble with. Unfortunately I missed my class when the teacher was giving examples of t-distribution problems. If someone could help me about the steps involving to solve this problem, I would really appreciate it. Let T=K(X+Y)/(Z^2 + W^2)^1/2 where...
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    Solving T-Distribution Problems: Finding the Value of K and Degrees of Freedom

    I had a homework problem which I'm having trouble with. Unfortunately I missed my class when the teacher was giving examples of t-distribution problems. If someone could help me about the steps involving to solve this problem, I would really appreciate it. Let T=K(X+Y)/(Z^2 + W^2)^1/2 where...
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    What is the inverse of h(y) where y=|x|

    This is the problem that I'm doing: Suppose that Z is a standard normal random variable: i.e. Z~N(0,1). a) Find the distribution of X=|Z| . b) What is the density of X? c) Find the distribution of Y=X^2 d) What is the joint distribution of X and Y...
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    What is the inverse of h(y) where y=|x|

    Well when I draw the graph for |x| i get like a graph like this starting at the origin \|/ , and I'm not sure how to find the inverse or by using the horizontal line test? is that like one-to-one function type?
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    What is the inverse of h(y) where y=|x|

    I'm preparing for my Statistics and Probability exam tomorrow, and I have a quick question: What is the inverse of h(y) where y=|x|. (just to make sure, h'(x)=1, right?)
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    What does this mean,(A Δ B)^c?

    So for example, all x such that x is not in (A Δ B)= (A-B) U (B-A)! What I was asking is what's (A Δ B)^c= ?? Because in the textbook it's not given and I got stuck for one of the problems before I could proceed.
  7. M

    What does this mean,(A Δ B)^c?

    Yes, I know, but how do I find the complement. Thats where I'm stuck. What is the complement equal to?
  8. M

    What does this mean,(A Δ B)^c?

    What does this mean, (A Δ B)^c? And what does it equal to? I know that (A Δ B)= (A-B) U (B-A).
  9. M

    Understanding Probability: The Meaning of Δ and Proving A Δ B^c = A^c Δ B

    Could you please show me how you got that? I understand that it's correct but I just want to know how you got that.
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    Understanding Probability: The Meaning of Δ and Proving A Δ B^c = A^c Δ B

    Yes that is also given in the question but I can't make them equal. Like using your example, it doesn't equal. So does that mean it doesn't equal? I'm stuck at the same place as I posted in my first post.
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    Understanding Probability: The Meaning of Δ and Proving A Δ B^c = A^c Δ B

    Hi, I have a quick question. What does the triangle (Δ) mean? I was asked to prove this, but since it's not told in the book and I just wana get an idea of what the Δ means. Show that A Δ B^c = A^c Δ B Also after trying to prove the two sides, I got stuck here... For A Δ B^c...
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    How Do You Derive an Explicit Formula from an Integral Equation?

    Speaking about the Fundamental thm of calculus, i was wondering why is it that for F(x)= int from 0 to x for f(t)dt, the function F is the constant function 0?
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    How Do You Derive an Explicit Formula from an Integral Equation?

    How do u find an explicit formula when given an integral of a function. For example, the integral from 0 to x of tg(t)dt=x+x^2, how do u find the forumla for g(t)?
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    Solving Convergence Tests: Tips & Tricks

    Convergence tests? I was having some trouble deciding which convergence tests to use for some of the following problems, as i have about a day or less to work on them. So please just tell me which convergence tests are easiest in doing these problems and some tips as sum of them require more...
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    Proving Limit of Sequence: a1, b1, a2, b2,... Converges to L

    could someone check this proof for me and tell me what is missing as i m not sure if i know anymore:(problem stated above) Proof: If a_n ->L and b_n ->L for some L, then for any eps>0 there is a K such that for all n, if n>K, then |a_n - L|<eps/2 and |L - b_n|<eps/2. Since n>K, |a_n - b_n|</=...
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