Question

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Solve the problem

1) Suppose that you wish to find P(-2<x<2) for a continuous uniform distribution having a minimum of -3 and a maximum of 3. If you incorrectly assume that the distribution is normal instead of uniform, will your answer be too big, too small, or will you obtain the correct answer? Explain your thinking.

Answer 1

ANSWER::

* Since normal distribution is more concentrated in the middle than uniform , any interval around the mean(that does not cover the enter range) will have more area under the normal curve as compared to unform curve.

* Thus, p(-2<x<2) will be too big when solved under normal as compared to uniform

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