Five candidates ( A, B, C, D , and E) have a chance to be selected to be on American Idol . Any subset of them (including none of them or all of them) can be selected, and assume that the selection process is completely random (the subsets of candidates are all equally likely). Find the probability of each of the following events. ( Hint : Do Exercise 16 first.) a. E 1 : “two candidates get selected.” b. E 2 : “three candidates get selected.” c. E 3 : “three candidates get selected, and A is not one of them.”
Five candidates ( A, B, C, D , and E) have a chance to be selected to be on American Idol . Any subset of them (including none of them or all of them) can be selected, and assume that the selection process is completely random (the subsets of candidates are all equally likely). Find the probability of each of the following events. ( Hint : Do Exercise 16 first.) a. E 1 : “two candidates get selected.” b. E 2 : “three candidates get selected.” c. E 3 : “three candidates get selected, and A is not one of them.”
Solution Summary: The author calculates the probability of an event E_1 in which two candidates get selected.
Five candidates (A, B, C, D, and E) have a chance to be selected to be on American Idol. Any subset of them (including none of them or all of them) can be selected, and assume that the selection process is completely random (the subsets of candidates are all equally likely). Find the probability of each of the following events. (Hint: Do Exercise 16 first.)
a.
E
1
: “two candidates get selected.”
b.
E
2
: “three candidates get selected.”
c.
E
3
: “three candidates get selected, and A is not one of them.”
Select the polynomials below that can be solved using Completing the Square as
written.
6m² +12m 8 = 0
Oh²-22x
7
x²+4x-10= 0
x² + 11x
11x 4 = 0
Prove that
the usual toplogy is firast countble
or hot and second countble.
①let cofinte toplogy onx show that
Sivast countble or hot and second firast.
3) let (x,d) be matricspace show that is
first and second countble.
6
Show that Indiscret toplogy is firstand
Second op countble or not.
H.W For any events A and B, show that
1. P(AB)s P(A)≤ P(AUB)≤ P(A) + P(B)
Chapter 16 Solutions
Excursions in Mathematics, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package
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