Suppose you have historical data that says the probability a stock experiences a large price movement of more than 3% on a random day is 0.4. Also, price movements (regardless of whether they are large or not) are negative 60% of the time. If you select 10 daily stock price movements completely at random, what is the

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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Suppose that 28.7% of Canadians contributed to their RRSP (registered retirement fund) this year. If we were to select a random sample of 6 Canadians, what is the probability that... ... exactly 3 of them contributed to their RRSP? .. at least 1 of them contributed to their RRSP? . at most 2 of them contributed to their RRSP? (round to four decimal places)
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 37 arrests last month, 25 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. -Find the P-value of the test statistic. (Round your answer to four decimal places.)ANSWER IS NOT 0.3745
QUESTION 3 Data on a survey of 80 magazine subscribers showed that 32 subscribers rented a car during the past 12 months for business reasons, 40 subscribers rented a car during the past 12 months for personal reasons, and 24 subscribers rented a car during the past 12 months for both business and personal reasons. 3.1. What is the probability that a subscriber rented a car during the past 12 months for business reasons? 3.2. What is the probability that a subscriber rented a car during the past 12 months for personal reasons? 3.8. What is the probability that a subscriber rented a car during the past 12 months for both business and personal reasons? S.A. What is the probability that a subscriber rented a car during the past 12 months for business or personal reasons? 8.5. What is the probability that a subscriber rented a car during the past 12 months for business reasons given that the subscriber rented a car for personal reasons?
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 37 arrests last month, 22 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.
Suppose that a clinical test for a rare disease produces 97% true positives and 95% of true negatives. It is also known that only 0.5% of the general population has the disease. What is the probability that a randomly selected individual with a positive test has the disease? Give your answer correct to four decimal places.
How could knowledge of probabilities be used to analyze the data given in the table?
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 27 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. State the null and alternate hypotheses. H0: p = 0 .7; H1: p < 0.7 H0: p ≠ 0.7; H1: p = 0.7 H0: p < 0 .7; H1: p = 0.7 H0: p = 0.7; H1: p ≠ 0.7 H0: p = 0.7; H1: p > 0.7 What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq < 5. The Student's…
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 33 arrests last month, 27 were of males aged 15 to 34 years. Use a 5% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. a) What is the value of the sample test statistic? (Round your answer to two decimal places.) b) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 37 arrests last month, 22 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 36 arrests last month, 24 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.7; H1: p > 0.7 H0: p ≠ 0.7; H1: p = 0.7 H0: p = 0 .7; H1: p < 0.7 H0: p < 0 .7; H1: p = 0.7 H0: p = 0.7; H1: p ≠ 0.7 (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal,…
The next set of problems are the probability problems from the handout, #'s 1, 2, and 3. Make sure to show all your work for them so you can get partial credit if you get it wrong. Round them off to three decimal places (like .256) One study says that 23% of adults in the US use some form of marijuana regularly. If you randomly select 5 people, what is the probability that none of them use marijuana?
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 36 arrests last month, 22 were of males aged 15 to 34 years. Use a 5% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0 .7; H1: p = 0.7H0: p = 0 .7; H1: p < 0.7 H0: p = 0.7; H1: p > 0.7H0: p ≠ 0.7; H1: p = 0.7H0: p = 0.7; H1: p ≠ 0.7 (b) What sampling distribution will you use? The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5…