Recent content by MiamiThrice

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    Undergrad How Do You Calculate Probabilities in a Normal Distribution Scenario?

    Hey Chiro, I'm not completely sure what you mean. I have the following formula: ƩXi ~ N(nμ, nδ2). Should I use that to sum of the 20 wines? (n = 20, μ and δ given) I'm unsure how to use this together with the normal distrubition for the volume of the cask.
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    Undergrad How Do You Calculate Probabilities in a Normal Distribution Scenario?

    Hello all, While studying for exam I came across this practise problem which is giving me some trouble. The amount , A, of wine in a bottle ~ N(1.05L, .0004L2). a)The bottle is labelled as containing 1L. What is the probability a bottle contains less than 1L? b) Casks are available...
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    Undergrad How Do You Find 'a' for P(-a ≤ X ≤ a) = 0.95?

    I think this is what you mean: P(x<a) = F(a). I used that to get F(-a) = 1- F(a). So for P(-a<x<a) I thought it would be F(a) - (1 - F(a)) = 2F(a) - 1 = 0.95 ? Was I doing it correct?
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    Undergrad How Do You Find 'a' for P(-a ≤ X ≤ a) = 0.95?

    Hi all, I was having some troubles with a practise question and thought I'd ask here. Given an r.v. X has a pdf of f(x) = k(1-x2), where -1<x<1, I found k to be 3/4. And I found the c.d.f F(x) = 3/4 * (x - x3/3 + 2/3) Now I have to find a value a such that P(-a <= X <= a) = 0.95. I thought...