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Suppose that contamination particle size (in micrometers) canbe modeled as f(x) = 2x-3 for 1<x and f(x) = 0 for x<= 1
a) Confirm that f(x) is a probability density function.
b) Given the cumulative distribution function.
c) Determine the mean
d) What is the probability that the size of random particle will be less than 5 micrometers?
What are the primary advantages and disadvantages of employing sampling in this application?
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a standard deviation of 5 miles per gallon. At α=0.05, can you reject the auto maker's claim that the mean gas mileage of its luxury sedan is at least 25 miles per gallon?
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Use empirical Rule to evaluate proportion of costs within 2 standards deviations of mean. Write down these limits.
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