Thread: Uniform Distribution Question

Hi, I need help with this question

What is the probability that a random variable V which is uniformly
distributed on the interval [0; 1] lies within 2 standard deviation units of its mean?

I was told to standardise this variable by taking away its mean which is and dividing by it's standard deviation which is

With that I end up with z-values -2 and 2


Is it correct to use a normal here?

Originally Posted by alan4cult

Hi, I need help with this question

What is the probability that a random variable V which is uniformly
distributed on the interval [0; 1] lies within 2 standard deviation units of its mean?

I was told to standardise this variable by taking away its mean which is and dividing by it's standard deviation which is

With that I end up with z-values -2 and 2


Is it correct to use a normal here?

No. You can use that IFF the variable follows Standard Normal Distr.

Originally Posted by alan4cult

Hi, I need help with this question

What is the probability that a random variable V which is uniformly
distributed on the interval [0; 1] lies within 2 standard deviation units of its mean?

I was told to standardise this variable by taking away its mean which is and dividing by it's standard deviation which is

With that I end up with z-values -2 and 2


Is it correct to use a normal here?

and (see http://en.wikipedia.org/wiki/Uniform...n_(continuous)). It is simple to calculate .