Question

The probability density function f(x) of a random variable X that has a uniform distribution between a and b is:

-(b + a)/2
-(a − b)/2
-1/b − 1/a
-None of these choices.

Answer 1

Answer: -None of these choices.

PDF = 1/(b-a)

Explanation:

The probability density function f(x) of a random variable X that has a uniform distribution between a and b is given by:

PDF = 1/(b-a) for X€[a,b]

otherwise zero.

Answer 2

The probability density function (pdf) is;

f(x)=
`(1)/(b - a)` for a ≤ x ≤ b.

while the mean is given as
`(a + b)/(2)`

And the standard deviation given as
`\sqrt{((b - a)^(2) )/(12) }`