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Suppose the random variables X1, X2, ..., Xn are independent and have the same exponential distribution with the mean E(Xi)=2, (i=1, 2, ..., n), and Y=X1+X2+...+Xn. Find the moment-generating function of Xi (i=1, 2, ..., n).
Let the probability of a decreasing employment be 0.6 and the probability of a positive economic trend 0.5. Further, assume that the probability of a decreasing employment given a negative economic trend is 0.7.
Use a 0.05 significance level to test the claim that the mean speed of all cars is greater than the posted speed limit of 70 mph. Based on the above situation compute the value of the test statistic.
Program measured in minutes is found to follow a gamma distribution with parameters a=3 and b=2. what is the probability that CPU demand of a program will exceed 1 minute?
Construct a 95% confidence interval for the population mean, assuming a normal distribution?
As part of a long-term study of individuals 65 years of age or older, sociologists and physicians at the Wentworth Medical Center in upstate New York conducted a study to investigate the relationship between geographic location and depression.
Results show access to health care was increased at p
Scores of an aptitude test are normally distributed with a mean of 280 and a standard deviation of 30. Determine the percentage of samples of size 4 that have a mean score within 21 points of the population mean score of 280.
What does central limit theorem say about distribution of John's average payoff after 365 bets in a year?
Using the following information, find the equation of the regression line, and predict the heart rate when 0.27 milligrams of the drug is used.
The null hypothesis is that the distribution of mother's educational level is the same for both treatment groups. The value of the chi-square statistic is 7.422. Evaluate the P-value
People who answered incorrectly, 26 are men. The question was given to an equal number of men and women all with the same IQ. Find the probability that among 120 wrong answers, at least 82 made by men.
What is the probability that if you randomly select a student on campus, this is student is male OR majoring in business?
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