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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 health and safety committee is to be selected from all the people who work at a local factory. The committee is to consist of four members selected randomly from a list of ten names.
Use a P-value to test the claim about the population mean using the given sample statistics. State your decision for a=0.05. Claim: mean does not = 230
describe a scenario where you believe a binomial distribution would be appropriate. describe a scenario where you
If we assume a normal distribution of Diastolic blood pressures, then between what two values can we be assured 99.7% of all Diastolic blood pressures will lie?
suppose that the probability that a child living in an urban area is the us is obese is 20. a social worker sees 15
Best Ribs wishes to pay off a debt of $40,000 in 7 years. What amortization payment would they need to make each six months, at 6% interest compounded semiannually? (Use Table 12-2 from your text)
a box of strawberries are normally distributed with an average weight of 1 pound and a standard deviation of 1 ounce.
Provide analysis for 2 quarters-1. January-March 2016; 2. April-June 2016-what is the average number of days from initiated to completed (include all)-provide 2 colorful graphs showing the number of calendar days
a genetic experiment involving peas yielded one sample of offspring consisting of 402 green peas and 178 yellow peas.
What is the probability that none can transact business in a foreign language?
A state meat inspector in lowa has been given the assignment of estimating the mean net weight of packages of ground chuck labeled " 3 pounds." Of course, he realizes that the weights cannot be precisely 3 pounds.
A study of 40 bowlers showed that their average score was 186. The standard deviation of the population is 6. Construct a 95% confidence interval for the mean score of all bowlers
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