Asked by Monica Guzman on May 07, 2024

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Consider simulating the average roll of five fair 6-sided dice.Below is a histogram of the simulated average over 100001000010000 trials.  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 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

6-Sided Dice

A cube-shaped object with each of its six faces bearing a number from one to six, used in various games to generate random numbers.

Histogram

A graphical representation of data distribution, showing frequencies or occurrences of data within consecutive intervals.

Simulation

A method for modeling the operation of real-world processes or systems over time using computers or other technologies.

  • Connect the results of simulations with the calculation of probabilities for discrete and continuous random variables.
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Christine RemickMay 13, 2024
Final Answer :
B
Explanation :
Looking at the histogram, we can see that the majority of the averages fall between 3 and 4.5. We can estimate the probability by counting the number of trials where the average was between 3 and 4.5 and dividing it by the total number of trials (11,000 in this case).
The number of trials where the average was between 3 and 4.5 is approximately 6,050.
So, the estimated probability is 6,050/11,000 = 0.55.
Therefore, the best choice is B.