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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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