Exam 7: Continuous Probability Distributions
Exam 1: A Preview of Business Statistics55 Questions
Exam 2: Visual Description of Data67 Questions
Exam 3: Statistical Description of Data146 Questions
Exam 4: Data Collection and Sampling Methods104 Questions
Exam 5: Probability: Review of Basic Concepts188 Questions
Exam 6: Discrete Probability Distributions140 Questions
Exam 7: Continuous Probability Distributions160 Questions
Exam 8: Sampling Distributions108 Questions
Exam 9: Estimation From Sample Data150 Questions
Exam 10: Hypothesis Tests Involving a Sample Mean or Proportion170 Questions
Exam 11: Hypothesis Tests Involving Two Sample Means149 Questions
Exam 12: Analysis of Variance Tests173 Questions
Exam 13: Chi-Square Applications134 Questions
Exam 14: Nonparametric Methods139 Questions
Exam 15: Simple Linear Regression and Correlation145 Questions
Exam 16: Multiple Regression and Correlation98 Questions
Exam 17: Model Building83 Questions
Exam 18: Models for Time Series and Forecasting127 Questions
Exam 19: Decision Theory82 Questions
Exam 20: Total Quality Management132 Questions
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The standard normal distribution has a mean of 0.0 and standard deviation of 1.0.
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If the mean of an exponential distribution is 2,then the value of the parameter is:
(Multiple Choice)
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Given that z is a standard normal random variable,a negative value of z indicates that:
(Multiple Choice)
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The time it takes a technician to fix a computer problem is exponentially distributed with a mean of 15 minutes.What is the probability that it will take a technician less than 10 minutes to fix a computer problem?
(Short Answer)
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Assume x is normally distributed with mean = 15 and standard deviation = 3.Use the approximate areas beneath the normal curve,as discussed in this section,to find P(x = 20).
(Short Answer)
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The selling price of various homes in a community follows the normal distribution with a mean of $176,000 and a standard deviation of $22,300.What is the probability that the next house will sell for between $150,000 and $168,000?
(Short Answer)
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Complete the following table indicating which procedure to use in calculating binomial probabilities:
n \pi Procedure Large 0.2\leq\pi\leq0.8 Large 0.0\leq\pi\leq0.1 Large 0.9\leq\pi\leq1.0 Small 0.0\leq\pi\leq1.0
(Essay)
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The time it takes a technician to fix a computer problem is exponentially distributed with a mean of 15 minutes.What is the probability density function for the time it takes a technician to fix a computer problem?
(Short Answer)
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In 2000,the average charge of tax preparation was $95.Assuming a normal distribution and a standard deviation of $10,use the approximate areas beneath the normal curve,as discussed in this section,to answer: What proportion of tax preparation fees were between $80 and $90?
(Short Answer)
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In 2000,the average charge of tax preparation was $95.Assuming a normal distribution and a standard deviation of $10,use the approximate areas beneath the normal curve,as discussed in this section,to answer: What proportion of tax preparation fees were between $75 and $115?
(Short Answer)
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Which of the following statements are true regarding the normal distribution curve?
(Multiple Choice)
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For the standard normal curve,determine the area to the right of z = 0.34.
(Short Answer)
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Assume x is normally distributed with mean = 15 and standard deviation = 3.Use the approximate areas beneath the normal curve,as discussed in this section,to find P(9 ≤ x ≤ 21).
(Short Answer)
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If the z-value for a given value x of the random variable x is z = 1.96,and the distribution of x is normally distributed with a mean of 60 and a standard deviation of 6,then the x-value that this z-value corresponds to is:
(Multiple Choice)
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In 1997,private planes had 1.5 fatal crashes per 100 thousand flying hours.Assume a continuous random variable with a exponential distribution.A national association of private plane owners has 560 members who fly 1.5 million miles each year.The mileage crash rate has been estimated to be 20 per 100 million miles of air travel.What is the probability that the next crash by a member of the association will not occur until more than one year from now?
(Short Answer)
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Like the normal distribution,the exponential density function f(x):
(Multiple Choice)
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An efficiency expert makes periodic checks for weighting errors for a long distance shipping firm.The expert inspects for errors in weighing,in recording weights,and errors in processing the bills of lading.Based on past records,the number of weekly errors for all shipments averages 5.30 with a standard deviation of 1.23,and the frequency histogram approximates a normal distribution.Suppose x is the number of weighing errors that will occur next week.
Compute the approximate probability for (4 ≤ x ≤ 7).
(Short Answer)
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The z-score representing the 75th percentile of the standard normal distribution is:
(Multiple Choice)
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For a normal curve,if the mean is 20 minutes and the standard deviation is 5 minutes,then the area between 11 and 19 minutes is:
(Multiple Choice)
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