Use a linear congruential generator with parameters a=21,c=31,m=100a=21,c=31,m=100, and Z0=35 to generate a series of 60 numbers uniformly distributed in the interval [0,1].

• a) Compute and compare the mean and variance of these numbers to those of the expected theoretical Uniform(0,1) distribution (continuous uniform). Explain any differences.
• b) Use the uniform random numbers from part a) to generate 60 observations of the random daily demand a store observes for a particular product. Historical data show that the daily demand for this product is 0 9% of the time, 1 28% of the time, 2 30% of the time, 3 20% of the time, 4 8% of time, and 5 5% of the time.