Relative Frequency - The M&M Scandal

It's 15 years into the future, and you're an established statistician employed by the Federal Investigative Bureau, otherwise known as the FBI. This morning, when you opened your news app to see what was going on in the world, you are faced with headline after headline: Scandal at the M&M Factory! An unidentified employee has been providing information to the press about Mars Inc., manufacturer of M&Ms, producing more brown M&Ms than any other color! The horror! Why would they orchestrate such a hideous deception?! Why?!

A spokesperson from Mars Inc. announced at a press release later this morning, stating that Mars Inc. would never do such a thing. Mars Inc. has always valued healthy lifestyles, education, and integrity of character. Such rumors being spread by the unnamed rogue employee are clearly false; an attempt to dirty the company's highly valuable reputation!

A reporter shouts out: "Our source indicated that Mars Inc. has in fact been producing uneven amounts of brown M&Ms, and has proof to back it up! Mars Inc. only cares about saving money on food coloring!" The crowd becomes rowdy, demanding explanations. The spokesperson is rushed into his vehicle by Mars Inc.'s legal representatives, and the press conference is over.

After you returned from lunch, you open an email from your supervisor, saying that he needs to speak with you. As you arrive to his office, he hands you a case file. "I need you to get to the bottom of this mess. Sample as many cases of M&Ms you need; I need your best work on this! You need to determine if there really are more brown M&Ms than any other color, or if this is all just a ruse to increase page views!"

You return to your desk, and open the case file. You've got a lot of work ahead of you.