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Graph the probability density function for a continuous uniform random variable

ID: 3397297 • Letter: G

Question

Graph the probability density function for a continuous uniform random variable on the interval (a,b). Show that the skewness is 0 for a random variable that is uniformly distributed on the interval (a,b).
I am having trouble with showing the skewness is 0 for a uniformly distributed random variable. Would really appreciate some help! Graph the probability density function for a continuous uniform random variable on the interval (a,b). Show that the skewness is 0 for a random variable that is uniformly distributed on the interval (a,b).
I am having trouble with showing the skewness is 0 for a uniformly distributed random variable. Would really appreciate some help!
I am having trouble with showing the skewness is 0 for a uniformly distributed random variable. Would really appreciate some help! I am having trouble with showing the skewness is 0 for a uniformly distributed random variable. Would really appreciate some help!

Explanation / Answer

Skewness quantifies how symmetrical the distribution is.

Any threshold or rule of thumb is arbitrary, but here is one: If the skewness is greater than 1.0 (or less than -1.0), the skewness is substantial and the distribution is far from symmetrical.

• A symmetrical distribution has a skewness of zero.