Unit Test — Unit test Answers

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A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?

A
111
B
125
C
143
D
250
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James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is 10 out of 50. The theoretical probability of event A happening is 1 out of 4. Which action is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer?

A
removing the last 10 trials from the experimental data
B
completing the experiment many more times and combining the results to the trials already done
C
including a fifth possible outcome
D
performing the experiment again, stopping immediately after each event occurs once
23

Jonas is conducting an experiment using a 10-sided die. He determines that the theoretical probability of rolling a 3 is . He rolls the die 20 times. Four of those rolls result in a 3. Which adjustment can Jonas make to his experiment so the theoretical and experimental probabilities are likely to be closer?

Question illustration
A
He can decrease the sample space.
B
He can increase the sample space.
C
He can decrease the number of trials.
D
He can increase the number of trials.
24

Chelsea wants to determine the number of people in her school who read news reports on the Internet daily. She asks five people in her language arts class. Which improvements could Chelsea make to her sample to increase the validity of the results? Select three options.

A
increase the sample size
B
choose students from different grade levels
C
choose every fourth student in all language arts classes
D
decrease the sample size
E
choose students whose answer to the survey question is predetermined
25

Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table.Number Cube NumberObserved Frequency118216324426516620How does the experimental probability of rolling a 3 compare with the theoretical probability of rolling a 3?

A
The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3.
Option A
B
The experimental probability of rolling a 3 is less than the theoretical probability of rolling a 3.
Option B
C
The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3.
Option C
D
The experimental probability of rolling a 3 is less than the theoretical probability of rolling a 3.
Option D

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