HELP ASAP PLS! 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. b. What is the mean of this probability distribution?

a. Attached.

b. Mean = 0.5

Step-by-step explanation:

This random number generator con be modeled with an uniform continous random variable X that has values within 0 and 1, each with the same constant probability within this range.

The probability for the values within the interval [a,b] in a continous uniform distribution can be calculated as:

In this case, b=1 and a=0, so f(x)=1.

The sketched curve of the probability distribution of this random variable is attached.

The mean of this distribution can be calculated as the mean for any uniform distribution:

step-by-step explanation: