Question

A random variable X follows uniform distribution in the interval [-3,7]. Then the mean of distribution is​

Answer 1

Answer : Mean of the uniform distribution = (a+b)/2

=(-3+7)/2

= 4/2

=2

Therefore the mean of the uniform distribution in the interval is 2.

Explanation: Uniform distribution is a continuous distribution having probability density function, f(x) =1/(b - a) ,for all values of x ,with interval [a,b].

The mean is found by integrating the probability density function with respect to x with the upper limit as ' b ' and lower limit as ' a ', we get the mean of the uniform distribution as (a+b)/2.

Here the interval is [ -3, 7], substitute the values in the mean formula and we get the answer as 2.

Answer 2

Step-by-step explanation:

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