statistics

babu

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Apr 28, 2019
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The weights of packages received by a department store have a mean of 300 lb and a standard deviation of 50 lb. What is the probability that 25 packages received at random and loaded on an elevator will exceed the safety limit of the elevator, listed as 8200 lb?
 
If E[X] = a, what is E[nX], where n is a positive integer?
If Var(X) = b, what is Var(nX), where n is a positive integer?
 
If you don't recognize what tkhunny asked about, you may instead know formulas for the distribution of the mean of a sample, and use that.

In any case, we ask you to show your own work and where you are stuck, in part because that gives us an idea of what you have learned, and what kind of hint will be useful to you.
 
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