Consider Simulating the Average Roll of Twenty Fair 6-Sided Dice $10000$

question 29

Multiple Choice

Consider simulating the average roll of twenty fair 6-sided dice.Below is a histogram of the simulated average over $10000$ trials. Based on the simulation,approximate the probability that the average roll is between (and including) 3 and 4.Note: This is equivalently,the probability that the sum of the twenty rolls is between (and including) 60 and 80.

• A)0.53
• B)0.63
• C)0.73
• D)0.83
• E)0.93

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Definitions:

Babbage's Engine

Refers to Charles Babbage's Difference Engine and Analytical Engine, early mechanical computers designed in the 19th century.

Vacuum Tubes

Electronic devices that control the flow of electrons through a vacuum, used in early radios, televisions, and computers before the advent of semiconductor devices.

Integrated Circuits

Integrated circuits are microchips that consist of a set of electronic circuits on a small flat piece (or "chip") of semiconductor material, typically silicon, functioning as the core component in a variety of electronic devices.

Transistors

Semiconductor devices used to amplify or switch electronic signals and electrical power, fundamental components of modern electronic devices.