Question

HELP!!!!!!!!!!!!

A random number generator is used to create a real number between 0 and 1, equally likely to fall anywhere in this interval of values. (For the instance, 0.3794259832... is a possible outcome). a. Sketch a curve of the probability distribution of this random variable, which is the continuous version of the uniform distribution.

Answer 1

The graph of the probability density function is attached.

Explanation:

The probability function for this random number generator will be like the uniform distribution and defined for X ∈ [0, 1].

The probability density function can be written as:

`f(x)={\begin{cases}{\frac {1}{1-0}}=1&\mathrm {for} \ 0\leq x\leq 1,\\[8pt]0&\mathrm {for} \ x<0\ \mathrm {or} \ x>1\end{cases}}`

The graph of the probability density function is attached.