Question: 15. Uniform Distribution The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows

15. Uniform Distribution The random-number generator on calculators randomly generates a number

15. Uniform Distribution 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? e. Use your calculator or statistical software to randomly generate 200 numbers between 0 and 1. What proportion of the numbers are between 0 and 0.2? Compare the result with part (b).

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