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1. One percent of all individuals in a certain population are carriers of a particular disease. A diagnostic test for this disease has a 90% detection rate for carriers and a 5% detection rate for noncarriers. Suppose the test is applied independently to two different blood samples from the same randomly selected individual.
a. What is the probability that both tests yield the same result?
b. If both tests are positive, what is the probability that the selected individual is a carrier?
2. A system consists of two components. The proba- bility that the second component functions in a sat- isfactory manner during its design life is .9, the probability that at least one of the two components does so is .96, and the probability that both components do so is .75. Given that the rst component functions in a satisfactory manner throughout its de- sign life, what is the probability that the second one does also?
Suppose standard deviation stays same, how much do you have to decrease your average production time so that 95% of time you can deliver product in under 75 hours?
bill is interested in the infrequent arrival of birds on a remote pacific island in the south seas. the mean number
Mean income of $30,000and a standard deviation of $3,000. What is the income that separates the top 25% from the lower 75% of the incomes?
assume that adults have iq scores that are normally distributed with a mean of 100 and a standard deviation of 15.find
When we take the sample of 100 of these average is $500 and SD is $100. (a) Determine statement to make about range $300 to $700?
Evaluate your histograms for any outliers in your data. Based on your evaluation of outliers, you may trim no more than 1% of the data contained in the data set. This must be done symmetrically (i.e., trimming no more than 0.5% off the top and 0.5..
fifty sampling units of equal size were inspected and the number of nonconforming situations was recorded. the total
Produce a scatter plot of MCG attendance (dependent variable) against combined club membership (independent variable) and comment on the apparent relationship between these variables.
the random variable x the time to failure in thousands ofmiles driven of the signal lights on an automobile has a
Suppose that the constraint is not binding. For what values of cD will the dominant firm be an unconstrained monopolist?
A sample of 23 European countries found that variance of life expectancy was 7.3 years. Determine the 95% confidence interval estimate for variance of life expectancy in Europe?
Evaluate this statement: "Without good measurement, statistical analysis is worthless." Do you believe it is an overgeneralization.
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