12 Uniform Distribution The random-number generator on calculators randomly generates a number between 0 and L 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? (e) What is the probability of generating a number between 0.25 and 0.67 (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 betwee n0 and 032 CCompane the result with part b)

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12 Uniform Distribution The random-number generator on
calculators randomly generates a number between 0 and L. 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 0.67
(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 O and 0.27 Compare the result with part (b).
Transcribed Image Text:12 Uniform Distribution The random-number generator on calculators randomly generates a number between 0 and L. 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 0.67 (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 O and 0.27 Compare the result with part (b).
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