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. What is the mean of this probability​ distribution?   b. Find the probability that the random number falls between 0.7 and 0.9.   c. Find the probability that the random number is less than 0.71.

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