Cumulative Exam — Cumulative exam Answers

Jude has a deck of playing cards. He is asked to remove one card at random, then a second card. What could Jude do between the events to ensure they are dependent?

After surveying students in her homeroom, Katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. In Katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes.According to Katie’s model, what is the probability that three randomly chosen students will all stay after school for extracurricular activities today?

A bag contains 1 blue, 2 green, and 3 red marbles, as shown.What is the probability of drawing a green marble out of the bag without looking?

Which of the following is a valid probability distribution?

The dot plot shows the number of goals Erin’s soccer team scored this season.Goals Scored Per Game Which is a true statement about the dot plot?

For the graphs below, for which probability distribution is the value of the median greater than the value of the mean?

Six students collect buttons for a project. The students have 10, 14, 15, 12, 13, and 14 buttons. They divide the buttons evenly so that each student receives the same number of buttons. How many buttons does each student receive?

Jakob rolls an 8-sided die that is numbered from 1 through 8 a total of 400 times. About how many times should Jakob expect to roll a 5?

Abdul and his friends are playing a game by throwing darts onto the board shown below.What is the likelihood that Abdul will score at least 10 points when throwing one dart, assuming that the dart lands on the board?

Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There were 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip?

Which of the following values could represent the probabilities of complementary events?

Julia surveyed the players on her soccer team to see how many hours each member practiced during the week. Her data is shown in the histogram. Which of the following best describes the histogram?

Which are examples of statistical questions?QuestionsQuestion 1What is Mikki’s favorite time to go to sleep?Question 2What time does each student go to sleep?Question 3What time does Malia wake-up in the morning?Question 4What time does each student wake-up?

The Venn diagram shows the number of employers who ranked skills important for careers in their field.C represents communication, T represents technical skills, and M represents the ability to handle money.

Four spinners with distinct sections of equal area are spun 40 times. Which spinner is most likely to produce actual results closest to the predicted results?

The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot.What is the probability that a randomly selected car with no 4-wheel drive has third-row seats?

A four-person committee is chosen from a group of eight boys and six girls.If students are chosen at random, what is the probability that the committee consists of all boys?

Carmen is going to roll an 8-sided die 200 times. She predicts that she will roll a multiple of 4 twenty-five times. Based on the theoretical probability, which best describes Carmen’s prediction?

Jaxon has a bag of marbles. He draws one marble from the bag. Before drawing another marble from the bag, what could Jaxon do to ensure that the events are independent of each other?

Which box plot correctly displays the data set with a maximum of 24, a minimum of 3, a median of 15, an upper quartile of 19, and a lower quartile of 6?