College Algebra 1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: Jay Abramson
1 Prerequisites 2 Equations And Inequalities 3 Functions 4 Linear Functions 5 Polynomial And Rational Functions 6 Exponential And Logarithmic Functions 7 Systems Of Equations And Inequalities 8 Analytic Geometry 9 Sequences, Probability And Counting Theory Chapter9: Sequences, Probability And Counting Theory
9.1 Sequences And Their Notations 9.2 Arithmetic Sequences 9.3 Geometric Sequences 9.4 Series And Their Notations 9.5 Counting Principles 9.6 Binomial Theorem 9.7 Probability Chapter Questions Section9.7: Probability
Problem 1TI: Construct a probability model for tossing a fair coin. Problem 2TI: A six-sided number cube is rolled. Find the probability of rolling a number greater than 2. Problem 3TI: A card is drawn from a standard deck. Find the probability of drawing a red card or an ace. Problem 4TI: A card is drawn from a standard deck. Find the probability of drawing an ace or a king. Using the... Problem 5TI: Two number cubes are rolled. Use the Complement Rule to find the probability that the sum is less... Problem 6TI: A child randomly selects 3 gumballs from a container holding 4 purple gumballs, 8 yellow gumballs,... Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its... Problem 2SE: What is a sample space? Problem 3SE: What is an experiment? Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space... Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets.... Problem 6SE: For the following exercises, use the spinner shown in Figure 3 to find the probabilities indicated.... Problem 7SE: For the following exercises, use the spinner shown in Figure 3 to find the probabilities indicated.... Problem 8SE: For the following exercises, use the spinner shown in Figure 3 to find the probabilities indicated.... Problem 9SE: For the following exercises, use the spinner shown in Figure 3 to find the probabilities indicated.... Problem 10SE: For the following exercises, use the spinner shown in Figure 3 to find the probabilities indicated.... Problem 11SE: For the following exercises, use the spinner shown in Figure 3 to find the probabilities indicated.... Problem 12SE: For the following exercises, use the spinner shown in Figure 3 to find the probabilities indicated.... Problem 13SE: For the following exercises, use the spinner shown in Figure 3 to find the probabilities indicated.... Problem 14SE: For the following exercises, two coins are tossed. 14. What is the sample space? Problem 15SE: For the following exercises, two coins are tossed. 15. Find the probability of tossing two heads. Problem 16SE: For the following exercises, two coins are tossed. 16. Find the probability of tossing exactly one... Problem 17SE: For the following exercises, two coins are tossed. 17. Find the probability of tossing at least one... Problem 18SE: For the following exercises, four coins are tossed. 18. What is the sample space? Problem 19SE: For the following exercises, two coins are tossed. 19. Find the probability of tossing exactly two... Problem 20SE: For the following exercises, two coins are tossed. 20. Find the probability of tossing exactly three... Problem 21SE: For the following exercises, four coins are tossed. 21. Find the probability of tossing four heads... Problem 22SE: For the following exercises, four coins are tossed. 22. Find the probability of tossing all tails. Problem 23SE: For the following exercises, four coins are tossed. 23. Find the probability of tossing not all... Problem 24SE: For the following exercises, four coins are tossed. 24. Find the probability of tossing exactly two... Problem 25SE: For the following exercises, four coins are tossed. 25. Find the probability of tossing either two... Problem 26SE: For the following exercises, one card is drawn from a standard deck of 52 cards. Find the... Problem 27SE: For the following exercises, one card is drawn from a standard deck of 52 cards. Find the... Problem 28SE: For the following exercises, one card is drawn from a standard deck of 52 cards. Find the... Problem 29SE: For the following exercises, one card is drawn from a standard deck of 52 cards. Find the... Problem 30SE: For the following exercises, one card is drawn from a standard deck of 52 cards. Find the... Problem 31SE: For the following exercises, one card is drawn from a standard deck of 52 cards. Find the... Problem 32SE: For the following exercises, one card is drawn from a standard deck of 52 cards. Find the... Problem 33SE: For the following exercises, two dice are rolled, and the results are summed. 33. Construct a table... Problem 34SE: For the following exercises, two dice are rolled, and the results are summed. 34. Find the... Problem 35SE: For the following exercises, two dice are rolled, and the results are summed. 35. Find the... Problem 36SE: For the following exercises, two dice are rolled, and the results are summed. 36. Find the... Problem 37SE: For the following exercises, two dice are rolled, and the results are summed. 37. Find the... Problem 38SE: For the following exercises, two dice are rolled, and the results are summed. 38. Find the... Problem 39SE: For the following exercises, two dice are rolled, and the results are summed. 39. Find the... Problem 40SE: For the following exercises, two dice are rolled, and the results are summed. 40. Find the... Problem 41SE: For the following exercises, two dice are rolled, and the results are summed. 41.Find the... Problem 42SE: For the following exercises, two dice are rolled, and the results are summed. 42. Find the... Problem 43SE: For the following exercises, a coin is tossed, and a card is pulled from a standard deck. Find the... Problem 44SE: For the following exercises, a coin is tossed, and a card is pulled from a standard deck. Find the... Problem 45SE: For the following exercises, a coin is tossed, and a card is pulled from a standard deck. Find the... Problem 46SE: For the following exercises, a coin is tossed, and a card is pulled from a standard deck. Find the... Problem 47SE: For the following exercises, use this scenario: a bag of M&Ms contains 12 blue, 6 brown, 10 orange,... Problem 48SE: For the following exercises, use this scenario: a bag of M&Ms contains 12 blue, 6 brown, 10 orange,... Problem 49SE: For the following exercises, use this scenario: a bag of M&Ms contains 12 blue, 6 brown, 10 orange,... Problem 50SE: For the following exercises, use this scenario: a bag of M&Ms contains 12 blue, 6 brown, 10 orange,... Problem 51SE: Use the following scenario for the exercises that follow: In the game of Keno, a player starts by... Problem 52SE: Use the following scenario for the exercises that follow: In the game of Keno, a player starts by... Problem 53SE: Use the following scenario for the exercises that follow: In the game of Keno, a player starts by... Problem 54SE: Use the following scenario for the exercises that follow: In the game of Keno, a player starts by... Problem 55SE: Use the following scenario for the exercises that follow: In the game of Keno, a player starts by... Problem 56SE: Use this data for the exercises that follow: In 2013, there were roughly 317 million citizens in the... Problem 57SE: Use this data for the exercises that follow: In 2013, there were roughly 317 million citizens in the... Problem 58SE: Use this data for the exercises that follow: In 2013, there were roughly 317 million citizens in the... Problem 59SE: Use this data for the exercises that follow: In 2013, there were roughly 317 million citizens in the... Problem 60SE: Use this data for the exercises that follow: In 2013, there were roughly 317 million citizens in the... Problem 2SE: What is a sample space?
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mean from 45,34,56,32,33,45,67,65
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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