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Suppose that 5 components are sequentially connected in a such a way that the whole system works as long as all of them work. Assume that the lifetime of each component has an Exponential distribution with mean 100. Furthermore, assume that these components work (and fail) independently from each other. Let X be the time at which the system fails.
a) Show that P(X >or =x) = exp(- x/20)
b) Find the cumulative distribution function F(x) of X.
c) Find the expected failure time of the system
What is its standard deviation of this data set? What are the upper and lower values of 67% range of the flows and how do these compare to the upper and lower values of the full range of data?
What is the value of the sample test statistic? (Round your answer to three decimal places.) Find theP-value. (Round your answer to four decimal places.)
the police department for a major city has found that the average height of their 1250 officers is 71 inches with a
A random sample of 100 adult workers, 60 men and 40 women, is selected in a large Midwestern city. Of the group, 42 men and 17 women are union members.
in a brand awareness study if 25 of a group of 35 males identify the brand correctly and 15 of a group of 35 females
the following data were collected in a clinical trial to compare a new drug to a placebo for its effectiveness in
Estimate with 90% confidence the difference in the level of satisfaction with service between the two branches.
Hurricane Katrina hit New Orleans on August 29, 2005. The National Weather Service Forecast Office maintains online archives of climate data for all U.S.
The following set of data: 25, 18, 23, 16, 16, 14, 22, 17, 9, 32, 22, 12, 18, 9, 28, 14, 22, 18, 16, 12, 31, 17, 12, 14, 16, 30, 12, 12, 10, 24, 12, 11
Compute the value of the test statistic. Determine the p-value; and at 93.7% confidence, test the above hypotheses.
Iowa Co. has most of its business in the United States, except that it exports to Portugal. Its exports were invoiced in euros (Portugal's currency) last year. It has no other economic exposure to exchange rate risk.
Instead of offering no premium free channels, suppose that two free premium channels are included. What is the probability that fewer than 3 customers will subscribe? What is the probability that more than 4 customers will subscribe
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