Topic Test Answers

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 pair of dice are rolled 100 times. What is the probability of getting doubles x times?

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 10 2 5 Female 10 9 4 Total What is the relative frequency for males in the age group 60-69? a. c. b. d. Please select the best answer from the choices provided

How many different 4-digit sequences can be formed using the digits 0, 1,..., 6 if repetition of digits is allowed?

In a family with eight children, what is the probability that exactly six are boys?

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 sum of the two numbers. Let P be the probability of the desired outcome. Compare the following charts and determine which chart shows the probability distribution for the sum of the two numbers. Chart A x 2 3 4 5 6 7 8 9 10 11 12 Px Chart B x 2 3 4 5 6 7 8 9 10 11 12 Px Chart C x 2 3 4 5 6 7 8 9 10 11 12 Px

A card is picked at random from a standard deck of cards. What is the sample space for this experiment if you were trying to find P(face card)?

At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two switches are used in a device, what is the probability that both switches are good?

Compute the following:5!

A pool of possible jurors consists of 14 men and 10 women. How many different juries consisting of 5 men and 7 women are possible?

In a single experiment, a die is tossed and a spinner with the letters A, B, and C is spun. Each letter is equally likely. Draw your sample space and then find the probability of getting a 2 or a B.

In a certain lottery, 5 numbers between 1 and 13 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is not important.

Consider the following experiment: A card is picked at random from a standard deck of 52 cards. What is the sample space of the experiment? What is the probability of drawing a red card from the deck if 26 of the cards are red? a. 26 possible outcomes; P(red card) = b. 52 possible outcomes; P(red card) = c. 52 possible outcomes; P(red card) = d. 26 possible outcomes; P(red card) = Please select the best answer from the choices provided

In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members?

A jar contains 7 red jelly beans, 2 black jelly beans and 6 green jelly beans. You draw ONE jelly bean. What is the probability of drawing a red bean? a. c. 1 b. d. Please select the best answer from the choices provided

A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing an ace or a 8). a. c. b. d. Please select the best answer from the choices provided

A basketball player is shooting free throws blindfolded. He shoots in groups of 4 shots. Assume that it is equally likely that he will hit or miss a shot. Design and do a simulation to determine the probability that he will hit at least 75% of his shots within the groups. (Hint: Use coins.)

In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways are there to pick a subset of 3 different letters from the 26-letter alphabet?

How many ways can an IRS auditor select 4 of 9 tax returns for an audit?

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 14 6 5 Female 6 5 4 Total What is the relative frequency for males ? a. c. b. d. Please select the best answer from the choices provided

A fair coin is flipped three times. The sample space for this experiment is as follows: {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} Which table represents the experiment and the probabilities for number of heads? Table A Number of Heads, x P(x) 0 1 2 3 Table B Number of Heads, x P(x) 3 2 1 0 Table C Number of Heads, x P(x) 3 2 1 0 Table D Number of Heads, x P(x) 0 1 2 3