oel scores in 80% of his games. His team is starting the playoffs, and if they make it to the state championship, they will have played 5 games. Joel wants to determine the probability that he scores in 4 of the 5 games.
Which simulation design has an appropriate device and a correct trial?
A) Roll a die letting 1 represent Joel scoring and 2-6 represent Joel not scoring. Roll the die four times.
B) Roll a die letting 1 represent Joel scoring and 2-6 represent Joel not scoring. Roll the die five times.
C) Using a table of random digits select a digit between 0 and 9. Let 0-7 represent Joel scoring and 8-9 represent Joel not scoring. Select four digits.
D) Using a table of random digits select a digit between 0 and 9. Let 0-7 represent Joel scoring and 8-9 represent Joel not scoring. Select five digits.
"I think the answer is D"
You are correct, the answer is D.
To determine which simulation design has an appropriate device and a correct trial in this scenario, we need to consider the given information and requirements.
According to the information, Joel scores in 80% of his games. This means that there is an 80% chance of him scoring in any given game.
The task is to determine the probability that Joel scores in 4 out of 5 games in the playoffs.
Now, let's evaluate each option:
A) Roll a die letting 1 represent Joel scoring and 2-6 represent Joel not scoring. Roll the die four times.
In this simulation design, a die is used, where one face represents Joel scoring and the other faces represent Joel not scoring. However, this design only rolls the die four times, which does not align with the requirement of determining the probability of Joel scoring in 4 out of 5 games. Therefore, option A is not appropriate.
B) Roll a die letting 1 represent Joel scoring and 2-6 represent Joel not scoring. Roll the die five times.
In this simulation design, a die is used, and it is rolled five times. This aligns with the requirement of simulating Joel playing 5 games. Therefore, option B is a possible choice.
C) Using a table of random digits select a digit between 0 and 9. Let 0-7 represent Joel scoring and 8-9 represent Joel not scoring. Select four digits.
In this simulation design, a table of random digits is used to determine Joel's scoring and not scoring outcomes. Four digits are selected, which does not align with the requirement of determining the probability of Joel scoring in 4 out of 5 games. Therefore, option C is not appropriate.
D) Using a table of random digits select a digit between 0 and 9. Let 0-7 represent Joel scoring and 8-9 represent Joel not scoring. Select five digits.
In this simulation design, a table of random digits is used to determine Joel's scoring and not scoring outcomes. Five digits are selected, which aligns with the requirement of simulating Joel playing 5 games. Therefore, option D is a possible choice.
Considering the given requirements, option B and option D are both potential choices that fulfill the criteria of an appropriate device and the correct trial.
To determine which one is the correct answer, further information or clarification may be required.