Graph the probability density function for a continuous unif

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!

Solution

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.
 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 i

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