Binomial Probability — Unit test Answers

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?

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?

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?

Evaluate the given expression.

Suppose the probability of your hitting the bull’s-eye on a dartboard is 0.06. What is the probability of getting exactly two bull’s-eyes when you throw five darts?

Assume the birth of a boy or a girl is equally likely. The probability that a single child is born a girl is . What is the probability that the next child born to the same familiy will also be a girl? a. b. c. d. Please select the best answer from the choices provided

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.

In a randomly generated sequence of 24 binary digits (0s and 1s), what is the probability that exactly half of the digits are 0?

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

Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." Here are the results: Politics Liberal Moderate Conservative Total Female 27 34 15 76 Male 39 53 19 111 Total 66 87 34 187 Given that the student is female what is the probability that she considers herself to be a "Liberal"? Round your answer to three decimal places if necessary.

There are 9 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?

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

If you flip a coin ten times, how many different sequences of heads and tails are possible? a. b. c. d. Please select the best answer from the choices provided

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?

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?

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 79TotalMale0.190.10.11 Female0.20.10.3 Total 1What is the probability that a resident is male and in the age group 60-79?

When two dice are rolled, 36 equally likely outcomes are possible as shown below. (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) Let x be the product of the numbers. Let P be the probability of the desired outcome. Compare the following charts and determine which chart shows the probability distribution for the product of the two numbers. Chart A x 2 3 4 5 6 7 8 9 10 11 12 Px Chart B x 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 Px Chart C x 2 3 4 5 6 8 10 12 15 18 20 24 30 Px Chart D x 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 Px

Evaluate the given expression.