Question

A random variable x is uniformly
distributed 3 and 15. find the variance of x​

Answer 1

Step-by-step explanation:

This is also written equivalently as: E(X) = (b + a) / 2. “a” in the formula is the minimum value in the distribution, and “b” is the maximum value. For the above image, the variance is (1/12)

Answer 2

Answer:

The variance of given random variable of uniform distribution is 12

Step-by-step explanation:

• Uniform distribution is a probabilistic distribution in shape of the rectangle between certain bounds.
• The given random variable is uniformly distributed between 3 and 15
• The varience of the uniform distribution is given by

      $\sigma^2=\frac{(b-a)^{2} }{12}$  where a and b are the bounds.

• The varience of the given random variable is

        $\sigma^2=\frac{(b-a)^{2} }{12}$

        $\sigma^2=\frac{(15-3)^{2} }{12}\\\sigma^2=\frac{(12)^{2} }{12}\\\\\sigma^2=12$