Question

For rectangular distribution over interval (-4,4) its mean is equal to what

Answer 1

Answer:

if p represents sample proportion and p represents

Answer 2

Answer:

Mean of the given distribution is 0

Step-by-step explanation:

Given rectangular distribution over interval $(-4,4)$

The probability density function (pdf) of the uniform distribution $U(a,b)$ is defined as

              $f(x) = \left \{\begin{array}{c}\frac{1}{b - a} ~ for~ a \le x \le b&\\0 ~~~~~otherwise&\\\end{array}\right$

And the mean of the uniform distribution $U(a,b)$ is given by

$\mu =\frac{a+b}{2}$

$=\frac{-4+4}{2}\\=0$

Mean of the given distribution is 0 which is the midpoint of the given range of values.