The random-number generator is used to generate a real number at random between 0 and 1, equally likely to fall anywhere in this interval of values. (For instance, 0.3794259382... is a possible outcome.) a. Sketch a curve of the probability distribution of this random variable. b. What is the mean of this probability distribution? c. Find the probability that the random number falls between 0.35 and 0.6. d. Find the probability that the random number is less than 0.81.