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    Computer Languages to Generate Random Numbers

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    Most computer languages include a function that can be used to generate random numbers. In Excel, the RAND function can be used to generate random numbers between 0 and 1. If we let x denote a random number generated using RAND, then x is a continuous random variable with the following probability density function:

    f(x) = {1 for 0 ≤ x ≤ 1
    0 elsewhere

    a. Graph the probability of generating a random number between .25 and .75?

    b. What is the probability of generating a random number with a value less than or equal to .30?

    c. What is the probability of generating a random number with a value greater than .60?

    e. Generate 50 random numbers by entering =RAND() into 50 cells of an Excel worksheet.

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    Solution Summary

    This solution determines the probability that a computer language would be able to generate random numbers from a probability density function.

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