d. List the sample points in the union of the events (OU e. List the sample points in the intersection of the events (OM). f. Are events O and M mutually exclusive? Explain. 48. Forty-three percent of Americans use social media and other websites to voice their opin- ions about television programs (The Huffington Post, November 23, 2011). Below are the results of a survey of 1400 individuals who were asked if they use social media and other websites to voice their opinions about television programs. Female Male Uses Social Media and Other Websites to Voice Opinions About Television Programs C. 395 323 Doesn't Use Social Media and Other Websites to Voice Opinions About Television Programs 291 355 a. What is the probability a respondent is female? b. What is the conditional probability a respondent uses social media and other websites to voice opinions about television programs given the respondent is female? Let F denote the event that the respondent is female and A denote the event that the respondent uses social media and other websites to voice opinions about television programs. Are events F and A independent? 49. A study of 31,000 hospital admissions in New York State found that 4% of the admissions led to treatment-caused injuries. One-seventh of these treatment-caused injuries resulted in death, and one-fourth were caused by negligence. Malpractice claims were filed in one out of 7.5 cases involving negligence, and payments were made in one out of every two claims. What is the probability a person admitted to the hospital will suffer a treatment-caused a. injury due to negligence?
d. List the sample points in the union of the events (OU e. List the sample points in the intersection of the events (OM). f. Are events O and M mutually exclusive? Explain. 48. Forty-three percent of Americans use social media and other websites to voice their opin- ions about television programs (The Huffington Post, November 23, 2011). Below are the results of a survey of 1400 individuals who were asked if they use social media and other websites to voice their opinions about television programs. Female Male Uses Social Media and Other Websites to Voice Opinions About Television Programs C. 395 323 Doesn't Use Social Media and Other Websites to Voice Opinions About Television Programs 291 355 a. What is the probability a respondent is female? b. What is the conditional probability a respondent uses social media and other websites to voice opinions about television programs given the respondent is female? Let F denote the event that the respondent is female and A denote the event that the respondent uses social media and other websites to voice opinions about television programs. Are events F and A independent? 49. A study of 31,000 hospital admissions in New York State found that 4% of the admissions led to treatment-caused injuries. One-seventh of these treatment-caused injuries resulted in death, and one-fourth were caused by negligence. Malpractice claims were filed in one out of 7.5 cases involving negligence, and payments were made in one out of every two claims. What is the probability a person admitted to the hospital will suffer a treatment-caused a. injury due to negligence?
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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Question
Transcribed Image Text:or unsuccessful. Consider the making of the two investments as a random exper
a.
How many sample points exist for this experiment?
b. Show a tree diagram and list the sample points.
C.
Let O
the event that the oil industry investment is successful and M = the event that
the municipal bond investment is successful. List the sample points in O and in M.
d. List the sample points in the union of the events (OUM).
e.
List the sample points in the intersection of the events (OM).
f.
Are events O and M mutually exclusive? Explain.
48. Forty-three percent of Americans use social media and other websites to voice their opin-
ions about television programs (The Huffington Post, November 23, 2011). Below are the
results of a survey of 1400 individuals who were asked if they use social media and other
websites to voice their opinions about television programs.
Female
Male
a.
b.
C.
Uses Social Media and Other
Websites to Voice Opinions About
Television Programs
395
323
Doesn't Use Social Media and Other
Websites to Voice Opinions About
Television Programs
291
355
What is the probability a respondent is female?
What is the conditional probability a respondent uses social media and other websites
to voice opinions about television programs given the respondent is female?
Let F denote the event that the respondent is female and A denote the event that the
respondent uses social media and other websites to voice opinions about television
programs. Are events F and A independent?
49. A study of 31,000 hospital admissions in New York State found that 4% of the admissions
led to treatment-caused injuries. One-seventh of these treatment-caused injuries resulted in
death, and one-fourth were caused by negligence. Malpractice claims were filed in one out
of 7.5 cases involving negligence, and payments were made in one out of every two claims.
What is the probability a person admitted to the hospital will suffer a treatment-caused
a.
injury due to negligence?
1001
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