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Transistors produced by one machine have a lifetime that is exponential distributed with mean 50 hours. Those produced by another machine have a lifetime that is exponential distributed with mean 100 hours. A package of transistors contains 3 produced by the first machine and 9 produced by the second machine. Let X be the lifetime of a transistor picked at random from this package.
Find: (a) the cdf of X; (b) P(X > 150); (c) the pdf of X; (d) E[X]; (e) Var(X); (f) Is X memoryless? Either give a proof or counterexample.
Calculate the standard deviation of the dependent variable and the standard deviation of the independent variable.
The video makes the point that though nobody wants to think that they are a statistic, acting as if you are a statistic can help you make better decisions. That said, statisticians should never forget that the numbers they analyze correspond to re..
According to the Consumer Electronics Manufacturers Association, 10% of all U.S. households have a fax machine and 52% have a personal computer.
A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling. Can he conclude, at the 0.10 level of significance, that the average trunk di..
What percentage of normal and healthy adults would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6 °F is appropriate?
Use Chebyshev's theorem to find what percent of the values will fall between 201 and 345 for a data set with a mean of 273 and standard deviation of 18.
oh has 15 residents 10 are democrats. in a sample of 4 different voters what is the probability that exactly 3 are
Formulate and test an appropriate set of hypotheses to determine if the machine can be qualified. Use a = 0.05. Find the P-value.
Explain why the Binomial(30, 0 ,3) probability function at x agrees with the Binomial(30 ,0,7) probability function at.
Breakfast cereal is packed into packages labeled "net weight 20 ounces, packed by weight not by volume; some settling may occur during shipment."
Explain what is meant by the use of the term significant in part (a), and discuss how it compares with the everyday use of the word.
Identify the independent variables as quantitative or qualitative.- Write the complete second-order model for E(y).
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