The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X,

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The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution.

(a) Draw the graph of the uniform density function.

(b) What is the probability of generating a number between 0 and 0.2?

(c) What is the probability of generating a number between 0.25 and 0.6?

(d) What is the probability of generating a number greater than 0.95?

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