Topic Test Answers

License plates are made using 2 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed?

The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a retirement home. 60-69 70-79 Over 79 Total Male 12 1 5 Female 8 10 4 Total What is the relative frequency for females in the age group 60-69? a. c. b. d. Please select the best answer from the choices provided

Suppose you are looking for a new car and have narrowed down your decision down to a Mustang, but can’t decide on the exact color, transmission, engine, or options package. There are three sizes of engine (3.0 liters, 3.8 liters, and 4.6 liters), two transmissions (standard and automatic), five colors you like (black, silver, red, yellow, and green), and three option packages (GL, Sport, and XL). With all these possible choices, you want to know how many different Mustangs there are from which you must choose. How many different Mustangs are possible?

How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits is not allowed?

According to the 2000 U.S. Census Bureau, 49.65% of Texas residents were male. Consider the experiment of selecting ten Texans at random. If you are interested in determining the probabilities of selecting x males, is this a binomial probability distribution? And if so, what are the values of n, p, and q?

Compute the following:

A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer. Explain why this is an independent or a dependent event.

In the following experiment, determine whether or not the probabilities are binomial probabilities. If they are, identify the values for n, p, and q.A die is rolled 30 times. What is the probability of getting x even numbers?

Compute the following:

The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a retirement home. 60-69 70-79 Over 79 Total Male 15 4 5 Female 5 7 4 Total What is the relative frequency for persons in the age group 60-69 ? a. c. b. d. Please select the best answer from the choices provided

The names of all of the states in the United States are placed in a bag. One name is drawn from the bag. What is the theoretical probability of each event? P(Florida) a. c. b. d. Please select the best answer from the choices provided

What does the symbol for factorial function mean?

A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the theoretical probability of the given event? P(even) a. c. b. d. Please select the best answer from the choices provided

Suppose you flip a penny and a dime. Use the following table to display all possible outcomes. penny dime head ? head ? tail ? tail ? If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting two heads?

What is the probability that when a fair coin is flipped 25 times, there will be exactly five heads?

Phone numbers consist of a three-digit area code followed by seven digits. If the area code must have a 0 or1 for the second digit, and neither the area code nor the seven-digit number can start with 0 or 1, how many different phone numbers are possible? How did you come up with your answer? a. b. c. d. Please select the best answer from the choices provided

If 6 newborn babies are randomly selected, how many different gender sequences are possible?

The partially filled contingency table gives the relative frequencies of the data on age (in years) and sex from the residents of a retirement home. 60-6970-79Over 79TotalMale0.170.10.13 Female0.20.20.2 Total 1What is the probability that a resident is in the age group 60-69?

List all the elements of the sample space for the following experiment:You spin a spinner with four equal sections labeled 1, 2, 3, and 4 and toss a dime.

Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." Here are the results:Politics LiberalModerateConservativeTotalFemale40341488Male485026124Total888440212Given that the student is male what is the probability that he considers himself to be a "Liberal"? Round your answer to three decimal places if necessary.