Question: 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) = for 0 ≤ x ≤ 1

elsewhere

a.) Graph the probability density function

b.) What is the probability of generating a random number between 0.25 and 0.75? = 0.50

c.) What is the probability of generating a random number with a value less than or equal to 0.30? = 0.30

d.) What is the probability of generating a random number with a value greater than 0.60? = 0.40