Observations following a normal distribution
A set of observations follow a Normal distribution with mean 40 and standard deviation 4. What proportions of observations have values: (a) greater than 46, (b) less than 34, (c) between 34 and 46, (d) between 30 and 44, (e) between 43 and 47?
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In estimating the 95% confidence interval estimate of the proportion of workers absent more than 10 days last year what is the upper limit of the confidence interval?
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It travels a distance of 200m against a frictional resistance of 5kN. Use D'Alembert's Principle to calculate the tractive effort between the driving wheels and road surface.
A machine makes a product, with 5% of units having faults. In a sample of 20 units, what is the probability that at least 1 is defective? In a sample of 200 units, what is the probability that at least 10 are defective?
When a signal of intensity 3.0kWm-2 is applied at the input of an amplifier of length 10m, the output signal intensity is 36kWm-2.When the input intensity is reduced to 1.0kWm-2 the output is 20kWm-2
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