Computer Languages to Generate Random Numbers
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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