Mean and variance of the number of tosses
A coin is tossed repeatedly until either tails appears or heads has appeared four times, whichever comes first. Find the mean and variance of the number of tosses necessary.
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Which of the following is an example of a correlational study?
A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random sample of 36 bins, the sample mean amount was 49.1 pounds and the sample standard deviation was 4 pounds. Conduct the a
What is the test statistic? Give your answer to four decimal places. What is the P-value for the test? Give your answer to four decimal places.
What is the test statistic? Give your answer to four decimal places. What is the critical point for the test? Give your answer to four decimal places.
Suppose X is uniform of (0, pi/2) and Y=sin(X). Find the density function of Y. The answer is called the arcsine law because the distribution function contains the arcsine function.
A car manufacturer claims that the miles per gallon for a certain model has a mean equal to 40.5 miles with a standard deviation equal to 3.5 miles. use th following data, obtained from a random sample of 15 such cars, to test the hypothesis that
The distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal with mean 8.1 ounces and standard deviation 0.1 ounces. What is the probability that their average weight is less than 8 oz?
A local unemployment office keeps track of the number of new claims filed each day. Based on data collected, it determines that the expected number of new claims filed per day is 2.4 with a standard deviation of 0.8688. Suppose that the office is
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