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A cylindrical hole is drilled in a block, and a cylindrical piston is placed in the hole. The clearance is equal to one-half the difference between the diameters of the hole and the piston. The diameter of the hole is normally distributed with a mean 15 cm and standard deviation 0.025 cm, and the diameter of the piston is normally distributed with mean 14.88 cm and standard deviation 0.015 cm.
(a) Find the mean clearance.
(b) Find the standard deviation of the clearance.
(c) What is the probability that the clearance is less than 0.05 cm?
(d) Find the 25th percentile of the clearance.
(e) Specifications call for the clearance to be between 0.05 and 0.09 cm. What is the probability that the clearance meets the specification?
(f) It is possible to adjust the mean hole diameter. To what value should it be adjusted so as to maximize the probability that the clearance will be between 0.05 and 0.09 cm?
The column bearing is 12 in. measured along the beam, and the bearing plates at the end supports are each 8 in. Investigate this beam of A992 steel for (a) flexure, (b) shear, and (c) satisfactory transmission of the reactions load
two isotropically consolidated undrained (ciu) triaxial tests, CU1 triaxial tests, CU1 and CU2, were conducted on a normally consolidated (Nc) clay under effective consolidation stresses of 100 and 200 kPa respectively.
A four-lane freeway (two lanes in each direction) is on mountainous terrain with 11-ft lanes, a 5-ft right-side shoulder, interchange spacing of one every 10 miles, and a 60-mi/h base free-flow speed.
the contractor ran out of gunite mixture and finished the deep corner of a 5-m-wide swimming pool, with a quarter circle pipe of PVC pipe. compute the horizontal and vertical forces on the curved panel AB.
The bolts have a mean diameter of 1.000 cm, normally distributed with standard deviation of 0.010 cm. The holes have a mean diameter of 1.030 cm, normally distributed with standard deviation of 0.015 cm.
A large stream flowing through a highly industrialized area must serve as the source of a community's water supply. The turbidity of the water ranges from 30 to 60 NTU, alkalinity exceeds 100 mg/L.
Design a cord (design the constants k and ) so the cord stretches 2.5 times the unstretched length, and the acceleration of the jumper doesn't exceed 3g, and the cord has zero stiffness at the bottom of a 400ft drop.
Online professor's response to: Probability problems, A very rich investor has a small amount of spare cash which she wishes to invest. She has four options to choose from.
It has been determined experimentally that the reaction follows frst order kinetics with respect to both oxygen andhydrogen sulfide concentrations: d[H2S]/dt =-k[H2S][O2]
If the graphs of the functions f(x) and g(x) intersect at the point (–5, –6), then {–5} is the solution to the equation f(x) = g(x).
Given the manometer reading at A is 100 kPa, D = 10 cm, d = 5 cm, VA = 2 m/s, and specific weight of water is 9800 N/m3, what is the manometer reading at B. Note that flow rate (Q) is constant and Q = VA
For the free-falling patachutist with linear drag, assume a firstjumper is 70 kg and has a drag coefficient of of 12 kg/s. If a second jumper has a dragcoefficient of 15 kg/s and a mass of 75 kg, how long will it take him to reach the same velocity t..
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