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

The probability density function (pdf) is;

f(x)=$\frac{1}{b - a}$ for a ≤ x ≤ b.

while the mean is given as $\frac{a + b}{2}$

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

Answer 2

Answer: -None of these choices.

PDF = 1/(b-a)

Step-by-step 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.