An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space shown in Figure 2 (page 398 ) and, assuming each simple event is as likely as any other, find the probability of the sum of the dots indicated in Problems 43 - 56 . Sum is greater than 8 .
An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space shown in Figure 2 (page 398 ) and, assuming each simple event is as likely as any other, find the probability of the sum of the dots indicated in Problems 43 - 56 . Sum is greater than 8 .
Solution Summary: The author calculates the probability of obtaining the sum greater than 8 in an experiment by rolling two fair dice and adding the dots on the two sides facing up.
An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space shown in Figure
2
(page
398
) and, assuming each simple event is as likely as any other, find the probability of the sum of the dots indicated in Problems
43
-
56
.
Sum is greater than
8
.
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively.
a. Calculate E(X) and then E(5 - X).b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]?
[Note: It is not generally true that E(c/Y) = c/E(Y).]
74. The proportions of blood phenotypes in the U.S. popula- tion are as follows:A B AB O
.40 .11 .04 .45
Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? What is the probability that the phenotypes of two randomly selected individuals match?
If 50 is 10% of 500 lanterns, what percent is 100 out of 500 lanterns?
Chapter 8 Solutions
Pearson eText for Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)
University Calculus: Early Transcendentals (4th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Probability & Statistics (28 of 62) Basic Definitions and Symbols Summarized; Author: Michel van Biezen;https://www.youtube.com/watch?v=21V9WBJLAL8;License: Standard YouTube License, CC-BY
Introduction to Probability, Basic Overview - Sample Space, & Tree Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=SkidyDQuupA;License: Standard YouTube License, CC-BY