Will Luke pass the quiz? Luke's teacher has assigned each student in his class an online quiz, which is made up of 10 multiple-choice questions with 4 options
each. Luke hasn't been paying attention in class and has to guess on each
question. However, his teacher allows each student to take the quiz three times
and will record the highest of the three scores. A passing score is 6 or more
correct out of 10. We want to perform a simulation to estimate the score that Luke
will earn on the quiz if he guesses at random on all the questions.
a. Describe how to use a random number generator to perform one trial of the
simulation
The dotplot shows Luke's simulated quiz score in 50 trials of the simulation.
Simulated quiz score
Starnes & Tabor, The Practice of Statistics, 6e, o 2018
Bedford, Freeman & Worth High School Publishers
b. Explain what the dot at 1 represents.
c. Use the results of the simulation to estimate the probability that Luke passes
the quiz
d. Doug is in the same class and claims to understand some of the material. If he
scored 8 points on the quiz, is there convincing evidence that he understands
some of the material? Explain your answer.