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

question 8

Multiple Choice

Consider simulating the average roll of two 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 two rolls is between (and including) 6 and 8.

• A)0.15
• B)0.25
• C)0.35
• D)0.45
• E)0.55

---

Definitions:

Neural Membrane

The lipid bilayer that encloses the cytoplasm of a neuron, essential for transmitting neural signals.

Action Potential

A rapid increase and subsequent decrease in voltage across a cellular membrane, representing the transmission of an electrical signal along a neuron.

Resting Potential

The difference in electric charge across the neuronal membrane when the neuron is not actively sending a signal, crucial for the initiation of nerve impulses.

Excitatory Postsynaptic Potential

A temporary increase in postsynaptic membrane potential due to the flow of positively charged ions into the postsynaptic cell, making it more likely to fire an action potential.