Asked by Monica Guzman on May 07, 2024
Verified
Consider simulating the average roll of five fair 6-sided dice.Below is a histogram of the simulated average over 100001000010000 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
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.
Verified Answer
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.
Learning Objectives
- Connect the results of simulations with the calculation of probabilities for discrete and continuous random variables.
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