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Math Help - Mean of normal distribution

  1. #1
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    Mean of normal distribution

    Let x1,x2,x3 be random samples from a normal distribution with mean =1 & standard deviation=2. What is P(x1+2x2-2x3>7)?
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  2. #2
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    Re: Mean of normal distribution

    Hey alb41192.

    For this question be aware that the weighted sum of Normal distributions with means <a,b,c> and variances <x,y,z> where we are finding the linear combination of dX + eY + fZ has a normal distribution ~ N(da + eb + cf,d^2*x + e^2*y + c^2*z).

    You can standardize this in terms of Z to get a probability by looking at tables or you can use a computer package like R which is really populat
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