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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
a professor in the psychology department would like to determine whether there has been a significant change in grading
Suppose the selected student's score increased on one of the SAT tests by 140 points. Which test, the SAT-Math or SAT-Verbal, is the one most likely to have the 140-point increase? Explain.
for the distribution in the following table what is the percentile rank for x
The station was successful in getting contributions from 26% of the members they e-mailed but only from 15% of those who received the request by regular mail.
Historical records show that 5 percent of people who visit a particular website purchase something. What is the probability that exactly 2 people out of the next 25 will purchase something? Use the Poisson distribution to estimate this binomial pr..
In random, independent samples of 250 adults and 375 teenagers who watched a certain television show, 147 adults and 228 teens indicated that they liked the show.
This chapter discusses a number of uses for RSM: (a) to improve product design, (b) to provide experience in scientific "investigation
Sisters and brothers (3.1, 3.2) How strongly do physical characteristics of sisters and brothers correlate? Here are data on the heights (in inches)
Geography. An elementary school teacher with 25 students plans to have each of them make a poster about two different states.
Ms. Jones, a bookstore owner, wishes to send out an advertisement to potential customers. She estimates that 20 percent of the town's residents.
The time it takes you to swim 100 yards in a race is normally distributed with mean 62 seconds and standard deviation 2 seconds.
The percentages reporting relief for the two methods were compared. What are the research question, the population parameter, and the sample estimate for this study?
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