# Question

A random number generator is used to generate a real number between 0 and 1, equally likely to fall anywhere in this interval of values. (For instance, 0.3794259832 c 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 (see Exercise 6.1).

b. What is the mean of this probability distribution?

c. Find the probability that this random variable falls between 0.25 and 0.75.

a. Sketch a curve of the probability distribution of this random variable, which is the continuous version of the uniform distribution (see Exercise 6.1).

b. What is the mean of this probability distribution?

c. Find the probability that this random variable falls between 0.25 and 0.75.

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