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

question 20

Multiple Choice

Consider simulating the average roll of three 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 three rolls is between (and including) 9 and 12.

• A)0.28
• B)0.38
• C)0.48
• D)0.58
• E)0.68

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Definitions:

Cash Transaction

A financial exchange involving the immediate payment of cash for the purchase of goods or services.

Accumulated Depreciation

The cumulative sum of depreciation expense allocated for a physical asset from the time it was first used.

Disposal

The elimination of an asset from the balance sheet, typically due to sale, loss, or obsolescence.

Machinery

Physical assets used in a business operation to manufacture or produce goods.