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The viscosity of a fluid can be measured in an experiment by dropping a small ball into a calibrated tube containing the fluid and observing the random variable X, the time it takes for the ball to drop the measured distance. Assume that X is normally distributed with the mean of 20 seconds and a standard deviation of 0.5 second for a particular type of liquid.
(a) What is the standard deviation of the average time of 40 experiments?
(b) What is the probability that the average time of 40 experiments will exceed 20.1 seconds?
(c) Suppose the experiment is repeated only 20 times. What is the probability that the average value of X will exceed 20.1 seconds?
(d) Is the probability computed in part (b) greater or less than the probability computed in part (c)? Explain why this inequality occurs
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A vertical triangular orifice in the wall of a reservoir has a base 0.9m long,0.6m below its vertex and 1.2 m below the water surface. Determine the theoretical discharge?
an apple weighs 60g and has a volume of 75cm^3 in a refrigerator at 8 degrees C. What is the apple's density List three intensive and two extensive properties of the apple.
A tubular aluminium bar (G=28GPa) of square cross section with outer dimensions 50mm x 50mm must resist a torque T=300Nm. Calculate the minimum required wall thickness t_min if allowbale shear stress is 20MPa
1. you are working for urs on a building project in dearborn michigan. you are responsible for the design of the
a rectangular beam made using concrete with fc 6000 psi and steel with fy60000 psi has a width b 20 in. the concrete
A 4 meter long steel plate with a rectangular cross section (10mm x 50mm) is resting on a frictionless surface under the sun. The plate temperature is measured to be at 40 degrees Celsius.
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