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?