Unit Test — Unit test Answers

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?

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?

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?

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

Compute the following:

According to the 2000 U.S. Census Bureau, 49.65% of Texas residents were male. If one Texan was selected at random in 2000, what is the probability she was female?

A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the probability that a blue marble will be drawn. a. c. b. d. Please select the best answer from the choices provided

The spinner is spun 75 times. What is the experimental probability of spinning an "A" ? Round your answer to the nearest hundredth if necessary. Outcome A B C D Frequency 20 11 14 30

Compute the following:

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

Evaluate the given expression.

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? a. c. b. d. Please select the best answer from the choices provided

Decide if the following problem is an example of a permutation or a combination. State your rationale. For a study, 4 people are chosen at random from a group of 10 people. How many ways can this be done?

When dealing with the occurrence of more than one event, what multiplication process can be used to easily determine all possible combinations without listing the entire sample space?

A card is picked at random from a standard deck of 52 cards. What is the probability of picking a face card (King, Queen, or Jack)? a. b. c. d. Please select the best answer from the choices provided

How many different four-digit numbers can be made using the digits 1, 2, 3, 4, 5, 6 if no digit can be used more than once? a. b. c. d. Please select the best answer from the choices provided

Compute the following:

Consider the following experiment: Rolling a die. What is the sample space of the experiment? What is the probability of getting a 1 or a 2?

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.