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Corie hit 5 homeruns at batting practice out of 20 pitches thrown. What is the experimental probability that Corie will hit a homerun at batting practice?

  • 1/2
  • 1/4 (correct)
  • 3/4
  • 1

    • Maria tossed a coin three times. She wrote a list of her possible outcomes. How many outcomes on her list had at least one Tail?

  • 3
  • 1
  • 7 (correct)
  • 8

    • Barak asked 50 students which type of flower they liked best. The results are displayed in the pie chart. If Barak asked 200 students which flower they liked best, how many students would you predict would choose tulips?

  • 150 students
  • 80 students (correct)
  • 20 students
  • 4,000 students

    • You roll a number cube two times. Which of the theoretical probabilities are accurate? Circle all that apply.

    <p>P(6 then 2) = 1/36</p> Signup and view all the answers

    Six people are running a race. In how many different ways can they finish first and second?

    <p>36</p> Signup and view all the answers

    Kyle has a lock combination with three digits. Every number in the combination must be a 0-4. What is the probability his combination is 000?

    <p>1/125</p> Signup and view all the answers

    Yolanda wants to know which seventh grade student will win the class election. Which sample will give her the best chance to make an accurate prediction?

    <p>Randomly selected from the seventh grade list of students.</p> Signup and view all the answers

    Fifty students at school were surveyed about their favorite type of music. The data is below. Which inference is the weakest?

    <p>Students least prefer country music.</p> Signup and view all the answers

    The five-number summary and mean for two data sets is shown below. Each data set has 15 values. Which data set has the greatest mean absolute deviation?

    <p>Data Set 2</p> Signup and view all the answers

    The scores for tests taken by Kelli and Robert are shown below. Each test is worth 20 points. Which statement best compares their median scores?

    <p>Their median scores differ by 1 point.</p> Signup and view all the answers

    Carla had a deck of cards numbered 1 to 20. She randomly chose a card from the deck. Find each probability for the card she chose.

    <p>P(5) = 1/20, P(even number) = 1/2, P(25) = 0, P(not 1 through 5) = 3/4</p> Signup and view all the answers

    There are 6 red, 9 blue and 5 green marbles in a bag. Samantha reaches into the bag and chooses one marble. Which color has a chance of being chosen? Explain how you know your answer is correct.

    <p>All of the colors have a chance of being chosen. Since there are multiple colors of marbles in the bag, and the choice is random, each color has a possibility of being chosen.</p> Signup and view all the answers

    Javier wanted to estimate the number of mustangs in a wild herd. He tagged 8 mustangs and sent them back to their herd. The next month he spotted 2 tagged mustangs out of the 15 mustangs spotted. Estimate the size of the mustang population. Show all work necessary to justify your answer.

    <p>8/x = 2/15, where x is the total population. Solving for x, 2x = 120. x = 60.</p> Signup and view all the answers

    Quinn rolled a regular number cube 42 times. How many times would you predict he rolled a 6? Explain your reasoning.

    <p>We would predict that Quinn rolled a 6 approximately 7 times. Each side of the standard six-sided number cube has an equal chance of landing face up. This is a 1/6 probability. So (1/6) x 42 = 7.</p> Signup and view all the answers

    The following histogram shows the number of homeruns hit by students at a baseball camp.

    <p>a. 48, b. 16/48 = 1/3</p> Signup and view all the answers

    You have three cards numbered 1, 2 and 3 and three cards labeled A, B and C. You choose one card from each deck. How many different pairs of cards are possible? Show a tree diagram, list or table to support your answer.

    <p>There are 9 different possible pairs of cards.</p> Signup and view all the answers

    Tami takes a multiple choice test. It has five questions. There are three possible answers for each question. If Tami guesses on each question, what is the probability she answers them all correctly?

    <p>(1/3)^5 = 1/243</p> Signup and view all the answers

    Shaun spins a spinner with the numbers 1 – 8, each equally likely. She then rolls a number cube. What is the probability Shaun spins a 5 and rolls a 5?

    <p>(1/8) x (1/6) = 1/48</p> Signup and view all the answers

    There are two school activities Friday night. One is a basketball game and the other is a talent show. Isla wants to know which activity more people will attend. She decides to ask her 20 closest friends. She decides most people will be going to the talent show based on their responses. Is her prediction accurate based on the sample surveyed? Explain your reaoning.

    <p>No, her prediction is likely inaccurate. Isla's sample is biased - it only includes her closest friends, not a representative selection of the whole school student population. To get a more accurate representation, she should survey a larger and more diverse group of students.</p> Signup and view all the answers

    Two different random samples were used to determine students' favorite park in town. The results are below. Make at least two inferences.

    <p>Sample 1 shows that Tree Park was the favorite park. Sample 2 shows that Lake Park was the favorite park. The two samples generated different results, which suggests that one or both of the samples may not be representative of the overall population. Based on the combined data, Lake Park is the most popular, but the sample sizes of both samples are different. A larger sample size can have more statistical significance and the ability to generalize with more confidence. The results suggest that more data is needed to determine student preferences.</p> Signup and view all the answers

    Use the data below to answer numbers 14 – 20. The data shows the number of minutes it took students to run a mile at the start of the year and at the end of the year.

    <p>Start of year: mean = 8.1, median = 8.5. End of year: mean = 7, median = 7.5</p> Signup and view all the answers

    Charlie said the means differed by 1.5 minutes. Is his comparison accurate? Explain your reasoning.

    <p>No, Charlie's comparison is not accurate. The means differ by 1.1 minutes (8.1 - 7 = 1.1).</p> Signup and view all the answers

    Find the five-number summary of each data set.

    <p>Start of year: Minimum = 5, Q1 = 6, Median = 8.5, Q3 = 10, Maximum = 14. End of year: Minimum = 4, Q1 = 5, Median = 7.5, Q3 = 8, Maximum = 10.</p> Signup and view all the answers

    Find the interquartile range of each data set.

    <p>Start of year: IQR = 4. End of Year: IQR = 3.</p> Signup and view all the answers

    Find the mean absolute deviation of each data set.

    <p>Start of year: MAD = approximately 1.88. End of year: MAD = approximately 1.67</p> Signup and view all the answers

    Write one sentence comparing a measure of variability between the two data sets.

    <p>The data from the start of the year is slightly more variable than the data from the end of the year, as indicated by the larger interquartile range (IQR) and mean absolute deviation (MAD).</p> Signup and view all the answers

    Javier interviewed a random sample of 200 students at his school. He asked each student what type of movie they preferred to watch and what one snack they preferred to eat with a movie. The results are below. There are 600 students in Javier's school. Based on the data Javier gathered, what is the probability the next student Javier asks will prefer an action movie and a snack of popcorn?

    <p>(80/200) * (100/200) = 1/5</p> Signup and view all the answers

    Study Notes

    Part I - Selected Response

    • Question 1: The experimental probability of Corie hitting a home run is 5/20, which simplifies to 1/4.

    • Question 4: There are 7 possible outcomes where at least one coin toss is tails.

    • Question 5: Probability outcomes are P(even then odd) = 1/4, P(6 then 2) = 1/36.

    • Question 6: Six people can finish first and second in 12 different ways.

    • Question 7: If 50 students preferred tulips, you would predict 200 students (as a multiple of 4 of the first sample), based on the pie chart.

    • Question 8: A survey of randomly selected students from the seventh grade would likely produce the most accurate prediction of the election winner.

    • Question 9: The weakest inference is that students prefer rock music the most, since the data doesn't clearly support that, the other data points are more conclusive.

    • Question 10: Data set 2 has a greater mean absolute deviation.

    • Question 11: Kelli's median scores differ by 2 points.

    Part II - Constructed Response

    • Question 1: The probability of selecting a card numbered five is 1/20.

    • Question 2: The probability of selecting an even number is 10/20, or 1/2.

    • Question 3: The probability of selecting a card numbered 25 does not exist since the highest number is 20.

    • Question 4: The probability of selecting a card which is not 1 through 5 is 15/20 or 3/4.

    • Question 5: There are 6 red, 9 blue, and 5 green marbles for a total of 20 marbles. Selecting a blue marble is 9/20. Choosing one color is the probability of that color divided by the total number of marbles.

    • Question 6: To estimate the size of the mustang population, use the proportion 8/8+X=2/15, Solving, the population is estimated to be 60.

    • Question 7: The number of times Quinn rolled a 6 is 42/6 = 7

    • Question 8a: The total number of students is calculated by adding up the number of students in each homers category, in total this is 66 students

    • Question 8b: The probability of hitting between 5 and 10 homers is the sum of students in each category divided by the total students.

    Part III - Problem Solving

    • Question 1: The probability the next student will prefer an action movie and popcorn is 80/600 = 4%.

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