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

question 7

Multiple Choice

Consider simulating the average roll of five 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 five rolls is between (and including) 15 and 20.

• A)0.45
• B)0.55
• C)0.65
• D)0.75
• E)0.85

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Definitions:

Schizophrenic Disorders

Schizophrenic disorders encompass a range of mental health conditions characterized by disruptions in thought processes, perceptions, emotional responsiveness, and social interactions.

Irrational Thinking

Irrational thinking involves patterns of thought that are unrealistic, biased, or based on incorrect assumptions, often leading to negative emotional outcomes or flawed decision-making.

Hallucinations

Perceptions or sensations experienced without an external source, often auditory or visual, and common in certain psychological disorders.

Disturbed Emotion

Emotional states that are intensely negative, disordered, or out of the ordinary, affecting a person's well-being and functioning.