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Thread: How to determine distribution with no parameters

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    How to determine distribution with no parameters




    I'm confused by this question and I was hoping for some guidance some one to point me in the right direction

    Let X1.........Xn be a random sample from a population with mean μ, that is E(Xi)=μ for all 1≤i≤n. Define

    Yi=1 if Xi<μ and Yi=0 otherwise

    a) Determine the distribution of Y=∑1≤i≤nYi (name and parameters)

    b)Determine the mean and variance of Y

    c)Compute P(Y≤30) for special case of n=49 and Xi..........Xn iid Exp∼(λ=3)

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    Re: How to determine distribution with no parameters

    Do you know the (name of the) distribution of those Y_i?

    Are they i.i.d.?

    Do you know the distribution of the sum of i.i.d. rvs from such distribution?

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    Re: How to determine distribution with no parameters

    no unfortunately there is no definition of that

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    Re: How to determine distribution with no parameters


    Quote Originally Posted by haml.kn View Post
    no unfortunately there is no definition of that
    Yes there is.

    Can you name a distribution that only can take on the value 0 or 1?
    I don't have emotions and sometimes that makes me very sad.

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