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Problem: Most computer languages have a function that can be used to generate random numbers. In Microsoft's Excel, the RAND function can be used to generate random numbers between 0 and 1. If we let x denote the random number generated, then x is a continuous random variable with the probability density function:
f(x) = { 1 for 0 < x < 1
{ 0 elsewhere
a. Graph the probability density function.
b. What is the probability of generating a random number between 0.25 and 0.75?
c. What is the probability of generating a random number with a value less than or equal to 0.30?
d. What is the probability of generating a random number with a value greater than 0.60?
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