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Suppose there were reason to believe that incomes in some population were normally distributed, with a mean of $47,000 per year, and a standard deviation of $5,500 per year.
a. What fraction of the population would make between $40,000 and $55,000 per year?
b. What fraction of the population would be described as below the poverty level, if that number is $22,350 (assuming a single wage-earner supporting a family of 4)?
c. If used blindly, this distribution would suggest that some people earn negative income per year. What fraction would that be?
d. We hear a lot these days about 1% / 99%. In this distribution, what is the minimum income of someone in the top 1%?
A gate (shaped like .25 of a cylinder with radius R=3m) is used to control the flow of water through a canal.The height of the water in the tank is 30m. How much force must be applied to keep the gate from opening? The gate is 30m wide.
Assuming D/D/1 queuing, what will be the total vehicle delay?
If the time required to pay for parking is exponentially distributed with a mean of 15 seconds, find the average time in system.
An industrial plant presently discharges a chemical (W=2000 * 106 gr/yr) to the lake. In addition, the inflow stream also contains the same chemical at a concentration of 15 mg/L. Note that the volumetric inflow and outflow are equal.
The hypothetical velocity distribution in a horizontal, rectangular open channel is V=0.3y (m/s), where V is the velocity at a distance y (m) from the bottom of the channel. If the vertical depth of flow is 2 m and the width of the channel is 4 m,..
Suppose that you issued a query against a search engine and the search engine retrieved 125 documents. Suppose that there are total, Define Data mining confusion matrix
A 10-mm diameter bar of 1040 carbon steel is subjected to a tensile load of 50,000 N, taking it beyond its yield point. Calculate the elastic recovery (or strain) that would occur upon removal of the tensile load.
an embankment for a highway 30m wide & 1.5m in a compacted thickness is to be constructed from a sandy trucked from a borrow pit.
A 1 cm diameter, 0.4 m long steel rod is to be used in an application where it will be subjected to an axial tensile force of 15kN. The factor of safety based on yield stress must be at least 1.5, and the axial deformation must not exceed 2 cm.
Roughly what is the maximum Volume of treated wastewater should you put in the bottle if you want to have at least 2.0mg/l of DO at the test (filling the rest of the bottle with the water
An undistured soil sample has a dry unit wieght of 112 pcf with specific gravity of solids equal to 2.68. a. What is the void ratio of the sample b. What is the porosity of the sample
Describe the use of productivity models for estimating land productivity. Provide details about various attributes that can be used and how the model is developed . Examples can be used to demonstrate model workability.
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