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Question: Components that are critical for the operation of electrical systems are replaced immediately upon failure. Suppose that the life time of a certain such component has mean and standard deviation of 100 and 30 time units, respectively. How many of these components must be in stock to ensure a probability of at least 0.95 for the system to be in continuous operation for at least the next 3000 time units? (Hint. If T = X1 +···+ Xn is the combined duration of n components, we want P(T > 3000) = 0.95. This means that 3000 is the 5th percentile of T. Using the CLT to approximate the 5th percentile of T leads to a quadratic equation for the square root of n, that is, an equation of the form αx2 + βx + γ = 0, with x being the square root of n. The roots of such an equation can be found with the R command polyroot(c(γ , β, α)).)
A social scientist asks a sample of men and women to read a vignette describing an immoral act for reasons of preservation, protection, or self-gain.
Find the zeros of the function in terms of e, f, and g. Under what condition would the zeros of the given function be two distinct real values?
At the 0.05 level of significance, is there evidence of a difference in the daily customer count based on the price of a small coffee?
Is that information sufficient for you to construct a contingency table for the study? If so, construct the table. If not, explain why not.
Leung and colleagues (2009) were also interested in whether the amount of improvement after the therapy was related to the number of months
A medical researcher estimates the percentage of children who are exposed to lead-base paint, adding that he believes his estimate has a margin of error of about 3%. Explain what the margin of error means.
suppose you estimate a model obtaining wage 0.620 0.506 times educ 2.27 times female were wage is measured in
a turbine blade has demonstrated a weibull failure pattern with a decreasing failure rate characterized by a shape
Using numerical and graphical summaries, describe the distribution of each explanatory variable
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
on a normal distribution with a mean of 500 and a standard deviation of 97 what percentage of cases will fall between
Settles Co.'s bonds mature in 15 years and pay 8 percent interest annually. If you purchase the bonds for $1,175, what is their yield to maturity?
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