Math Studies I



Math 3 Name: _________________________________

Data Analysis Unit Review Date: _______________ Block: _________

Show all your work! You will not receive credit for answers with no work shown. This includes multiple choice questions.

1. The following table represents the product of two fair die when rolled. What is the probability of rolling two die and getting a sum that is at most 5?

|X |2 |

|b. |gathering responses from customers who fly on Fridays. |

|c. |selecting people who carry a lot of baggage |

|d. |selecting every women who flies on a given day. |

14. Maria read in the newspaper that 45% of voters in her city were voting "no" on a local initiative measure.

The newspaper article stated that 650 people were originally polled. What is the margin of error for the

survey? Find the interval that is likely to contain the true population percent.

15. According to a recent survey, 56% of American teenagers in a random sample said they prefer thick

crust pizza to thin crust. If the margin of error is [pic]about how many students were surveyed?

16. Decide whether the random variable X is discrete or continuous. Explain.

X represents the amount of time it takes to swim 10 laps in a neighborhood pool.

17. You want to study the effect that listening to music has on the length of time an individual runs on the

treadmill. The length of time spent running is recorded. The control group is individuals who run on the

treadmill without listening to music, and the experimental group is individuals who run on the treadmill while

listening to music. Is this study an experimental study or an observational study? You MUST explain your

reasoning clearly.

18. A researcher is conducting a study to determine the effect a new sunscreen has on the prevention of skin cancer. The experimental group consists of lifeguards at an ocean resort. The control group consists of housekeepers at an ocean resort. Identify any flaws in the experiment, and describe how they can be corrected.

19. The life of a coffee maker is normally distributed with mean 24 months and a standard deviation of

3 months. How long should the guarantee period be if the manufacturer does not want to replace

more than 4% of the coffee makers?

20. The first Olympic Winter Games were held in 1924. Between 1924 and 2006, twenty Winter Olympics have been held. The Winter Games were suspended in 1940 and 1944 due to World War II. The United States has participated in all twenty Olympic Winter Games. (source: International Olympic Committee, )

|Year |Gold Medals |Silver Medals |Bronze Medals |

|2006 |9 |9 |7 |

|2002 |10 |13 |11 |

|1998 |6 |3 |4 |

|1994 |6 |5 |2 |

|1992 |5 |4 |2 |

|1988 |2 |1 |3 |

|1984 |4 |4 |0 |

|1980 |6 |4 |2 |

|1976 |3 |3 |4 |

|1972 |3 |2 |3 |

|1968 |1 |5 |4 |

|1964 |1 |2 |3 |

|1960 |3 |4 |3 |

|1956 |2 |3 |2 |

|1952 |4 |6 |1 |

|1948 |3 |4 |2 |

|1936 |1 |0 |3 |

|1932 |6 |4 |2 |

|1928 |2 |2 |2 |

|1924 |1 |2 |1 |

a. Construct the discrete probability distribution for the number of Bronze medals.

b. Construct the probability histogram of this distribution.

21. Make a table and a histogram showing the probability distribution for the random variable.

Then answer the questions. Start by creating a sample space of all possible outcomes.

D = the absolute value of the difference when two standard (six-sided) die are rolled.

a. Describe the histogram as symmetric or skewed.

b. What is the probability that the difference will be even?

c. What is the probability that the difference will be odd?

d. What is the probability that the difference is at least 4?

e. What is the probability that the difference is at most 2?

22. The Mountain States Office of State Farm Insurance Company reports that approximately 85% of all automobile damage liability claims were made by people under 25 years of age. A random sample of five automobile insurance liability claims is under study. What is the probability that

a. Two claims were made by drivers under the age of 25?

b. No more than 4 claims were made by drivers under the age of 25?

c. At least 3 claims were made by drivers under the age of 25?

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