Random number generation

Assignment

The purpose of this programming assignment is for you to get a hands-on experience with elementary statistics. Program the following experiment in a programming language of your choice.

• Generate 10,000 random numbers distributed uniformly in 0..1, and plot them in 100 equally space intervals: [0..0,01[, [0,01..0,02[, ..., [0,99..1,00])
• How many numbers do you expect to fall in each interval? Do you actually get exactly that number? Why? Do your results make sense according to statistical theory? Why or why not?

Repeat the experiment and ask yourself the same questions for the following cases,

• Generate 100,000 random numbers distributed uniformly in 0..1, and plot them in 100 equal space intervals.
• Generate 100,000 random numbers distributed uniformly in 0..1, and plot them in 1000 equally space intervals.
• Generate 1,000,000 random numbers distributed uniformly in 0..1, and plot them in 100 equally space intervals.
• Generate 1,000,000 random numbers distributed uniformly in 0..1, and plot them in 10000 equally space intervals.