3. Let A = {3, 4, {3}, {3, 4, 5}}. (a) True or False: {3,4} € A (b) True or False: {3,4} CA (c) True or False: {3} € A (d) True or False: {3} CA

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(b) Let X be the random variable that represents the number of heads when you flip all the coins. What
is the probability distribution of X?
(c) What is the expected value of X?
3. Let A = {3, 4, {3}, {3, 4, 5}}.
(a) True or False: {3,4} € A
(b) True or False: {3,4} CA
(c) True or False: {3} € A
(d) True or False: {3} CA
(e) *BONUS* The power set of a set S, denoted 25, is the set of all subsets of S. A partition is a
collection of sets that are mutually disjoint and whose union is the universe in which each of the
sets resides. Let C = {3,4,5), and let U = CU2C. Provide a set B such that the collection {A, B}
is a partition of U.
Transcribed Image Text:(b) Let X be the random variable that represents the number of heads when you flip all the coins. What is the probability distribution of X? (c) What is the expected value of X? 3. Let A = {3, 4, {3}, {3, 4, 5}}. (a) True or False: {3,4} € A (b) True or False: {3,4} CA (c) True or False: {3} € A (d) True or False: {3} CA (e) *BONUS* The power set of a set S, denoted 25, is the set of all subsets of S. A partition is a collection of sets that are mutually disjoint and whose union is the universe in which each of the sets resides. Let C = {3,4,5), and let U = CU2C. Provide a set B such that the collection {A, B} is a partition of U.
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