Suppose that are 100 independent
random variables, all exponentially distributed with mean 5.
Consider . What can you
say about the distribution of ?

Question

Suppose that     are 100 independent
  random variables, all exponentially distributed with mean 5.
  Consider   . What can you
  say about the distribution of   ?

Answer

The distribution of    is approximately normal, and has
  mean 5/100.

Answer

The distribution of    is approximately normal, and has
  mean 5.

Answer

The distribution of    is exponential, and has mean 5.

Answer

The distribution of    is normal, and has mean 5.

Answer

The distribution of    is exponential, and has mean
  5/100.

Crowdly

Suppose that are 100 independent random variables, all exponentially di...

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