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Unit Assessment: Unit 1 Learning Checkpoint 2 - Chance Events

Last updated about 2 years ago
11 questions
Required
1

The distribution of the wing lengths of house flies, in millimeters (mm), is approximately normal with mean wing length 4.55 mm and standard deviation 0.39 mm.

A scientist is conducting an experiment to determine the effect of wing length on flight range. The first phase of the experiment will test houseflies with wing lengths that are between 3.77 mm and 4.16 mm.

Based on the information, if a housefly is to be selected at random, what is the probability that the housefly’s wing length will meet the requirements of the first phase of the experiment?

Required
1

The owner of a coffee shop collected receipts from all orders placed during a one-hour period.
For each receipt, the owner recorded the payment method used and if the receipt was $20 or less, or more than $20. The following table shows the frequencies of the results.
If a receipt collected during the one-hour period is to be selected at random, what is the probability that the receipt was paid with cash?

Enter your answer as a value between 0 and 1 rounded to two decimal places (e.g., 0.13).

1

The owner of a coffee shop collected receipts from all orders placed during a one-hour period.
For each receipt, the owner recorded the payment method used and if the receipt was $20 or less, or more than $20. The following table shows the frequencies of the results.
The owner selected a receipt at random from those of more than $20. Which of the following is the probability that the selected receipt was for an order that was paid using a phone app?

Required
1

Ms. Patel asked the students in her classes if they use online applications for streaming music, for using social media, or for playing games. She then created a Venn diagram to summarize the results.

In which of the following Venn diagrams does the shaded region represent the group of students who both stream music and use social media?

Required
1

The distribution of the heights of the female students at a certain high school is approximately normal with a mean of 65 inches and a standard deviation of 3.5 inches.

Six members of the school’s volleyball team graduated last year, including its three tallest members. Before the next season begins, Ms. Harrison, the high school volleyball coach, begins a recruitment program to replace all six members, but she is especially interested in students with heights greater than 72 inches.

What is the approximate probability that a female student selected at random from the female students at the high school will have a height that is greater than 72 inches?

Required
1

In a game of darts, Eric threw five darts in an attempt to hit the center of the board.
His darts hit the board as shown by the red marks in the given figure.

Which of the following statements best describes the accuracy and precision of his throws?

Required
1

Students in Ms. Herringshaw’s statistics class are deciding on a method to survey the 1,500 students in their four-year high school for a project.

Of the following survey methods, which is most likely to introduce bias in the data?

Required
1

Thirty students in a chemistry class each completed a particular lab assignment.

Gerald and Sharon each collected data from the students to estimate the mean time it took for the class to complete the assignment.
Gerald asked 4 of the students how long each one of them took to complete the assignment, and correctly calculated a mean time of 38 minutes.
Sharon asked 10 different students in the class the same question, and correctly calculated a mean time of 32 minutes.

Both Gerald and Sharon claim their calculated mean time for completing the assignment is the better estimate of the actual mean time for the whole class.

Which of the following statements best explains who is correct?

Required
1

A writer for the school newspaper surveyed 209 students from various grade levels and asked the following question.

“Should the school have a dress code?”

The results are summarized in the table.
If a student who was surveyed is to be chosen at random, what is the probability that the student chosen is a sophomore, given that the student responded “Yes” to the survey question?

Required
1

Ms. Jiminez received responses from 100 students to a survey question regarding the types of pets they have.

She learned that a total of 30 students have a cat, a total of 25 students have a dog, and a total of 20 students have a bird. She also learned that some students have more than one type of pet and some students have no pets.

The following Venn diagram displays some of the data.
Mr. Jones, another teacher at the school, would like to hire one of the 100 students to babysit his children. However, because of allergies, he needs to hire a student from a pet-free home.
Based on the Venn diagram, what is the value of x, the number of students who have no pets?

Required
1

Two fair number cubes have faces labeled with the numbers 1 through 6. The two cubes will be rolled simultaneously. What is the probability that at least one of the cubes will have the face labeled 5 showing and that the sum of the showing faces will be greater than 8?