Unit 4 Multiple Choice Practice 2024

In the casino game Roulette, a bet on “red” will win if the ball lands on one of the 18 red numbers of the 38 numbers on the wheel, with each number being equally likely. You want to run a simulation that will estimate the probability of a player winning both bets when betting on red twice. Which of the following would be an appropriate setup for the simulation:

I. Use a table of random digits to select one number from 01 to 38 and then a second number from 01 to 38. If the first number is between 01 and 18 and the second number is between 01 and 18, then the player has won both rounds.

II. Use a table of random digits to select two numbers 01-38, without repeats. If both numbers are between 01 and 18, then the player has won both rounds.

III. Use a table of random digits to select two numbers 01-19, allowing repeats. If both numbers are between 01 and 09, then the player has won both rounds.

• I

• II

• III

• I and II

• I and III

At a summer camp, 72% of the campers participate in rope climbing and 26% participate in canoeing. 83% of the campers participate in rope climbing, canoeing, or both. What is the probability that a randomly selected camper participates in both rope climbing and canoeing?

• 0.11

• 0.15

• 0.69

• 0.98

• Cannot be determined

The table below gives information on the number of houses built in three different neighborhoods and in three different decades. Which one of the following statements is false?

• Houses in Pinewood Estates and houses built in the 1960s are mutually exclusive.

• The events “home is in Oakcrest” and “home was built in 1970s” are dependent.

• If a house is selected at random, the probability that the house was built in the 1980s is 30/220.

• The probability that a randomly selected home was built in the 1980s or is in the Oakcrest neighborhood is 110/220.

• The probability that a randomly selected house in Shady Lane was built in the 1960s is ½

Using data collected from 1981 to 2010 for Ann Arbor, MI, the average “high” temperature for days in July has a mean of 28.9° Celsius with a standard deviation of 3.3° Celsius. What are the mean and standard deviation if the temperatures are converted to degrees Fahrenheit? Use the equation F = (9/5)C + 32

• Mean is 84.02°F, Standard deviation is 1.83°F.

• Mean is 52.02°F, Standard deviation is 5.94°F.

• Mean is 84.02°F, Standard deviation is 5.94°F

• Mean is 84.02°F, Standard deviation is 35.28°F.

• Mean is 84.02°F, Standard deviation is 37.94°F.

Tags

CCSS.HSF-LE.A.1B

The scores on the verbal section of the Graduate Records Examination (GRE) are approximately normally distributed with a mean of 150 and a standard deviation of 8.5. What is the probability that a randomly selected score on the verbal section is higher than 165?

• 0.018

• 0.039

• 0.961

• 0.982

• Cannot be determined

A pollster asked 100 people “If money was not a factor, how many children would you like to have?” The results and their frequencies are shown in the (estimated) probability distribution function table shown at left. What is the probability that the number of children a randomly selected person from this sample would like to have is less than the mean of X?

• 0.25

• 0.49

• 0.51

• 0.80

• 1.49

According to the Guinness Book of World Records, a woman from Russia, Mrs. Vassilyeva, had 69 children between the years 1725 to 1765. She had 16 pairs of twins, 7 sets of triplets, and 4 sets of quadruplets. Suppose one of the births is randomly selected. Given that Mrs. Vassilyeva gave birth to at least 3 children (triplets), what is the probability that she gave birth to quadruplets?

• 4/27

• 7/11

• 3/11

• 3/27

• 4/11

A particular manufacturer of refrigerators has come under fire as their $1,700 LGA model has failed for a significant portion of owners. The LGA model often failed approximately 1-2 years after purchase, which is outside the warranty period. A class action lawsuit was filed by owners of the LGA model claiming that the manufacturer should repair or replace the units. The lawyer representing the class action lawsuit obtained a list of LGA owners who completed registration cards and asked a simple random sample of 1000 LGA owners, “Is your LGA refrigerator still working?” He also recorded the age of the refrigerator from information provided on the registration card. Here are the data at left. What is the probability a randomly selected LGA refrigerator is at least one year old and no longer works?

• 0.051

• 0.135

• 0.480

• 0.531

• 0.904

Based on student records, 25% of the students at a large high school have a GPA of 3.5 or better, 16% of the students are currently enrolled in at least one AP class, and 12% of the students have a GPA of 3.5 or better and are enrolled in at least one AP class. If we select one student at random, what is the probability that the student has a GPA lower than 3.5 and is not taking any AP classes?

• 0.29

• 0.47

• 0.53

• 0.63

• 0.71

When are you taking the AP Statistics Exam?

• May 7, 2024

• May 7, 2024 BC

• May 7, 2024 BCE

• May 7, 20240