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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
Draw a picture of the sampling distribution of H, the highest number each day, and compare it to the equivalent picture for the Cash 5 game, shown in Figure. Do you expect them to be similar? Are they?
a. What is the best point estimate of the population mean net change in LDL cholesterol after the garlic treatment? b. Construct a 90% confidence interval of the mean net change in LDL cholesterol after the garlic treatment.
when running an analysis of variance anova two-factor replication two-way test you get a p-value for the interaction
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Would it be reasonable to use the least-squares line to predict a car's mileage from its age for a Council High School teacher? Justify your answer.
a poll of 1200 randomly selected community college students in the u.s. was conducted and found that 58 favor
What is the probability that out of the 250 randomly selected tax returns no fraudulent return is uncovered?
suppose that with probability p the random variable x has the distribution n01 and with probability 1-p x has the
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The diameters of oranges in a certain orchard are normally distributed with a mean of 5.26 inches and a standard deviation of 0.50 inches.
Design an experiment to compare the ability of viewers to recall brand names of items featured in commercials during programs with violent content, sexual content, or neutral content.
Find the premium if the same income is to be paid monthly instead of annually, assuming payments are made (a) at the beginning of each month, (b) at the end of each month.
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