Determining the expected winnings
What is your expected winnings if you win $30 on a roll of a double 6 (dice), and you lose $1 otherwise. (So the random variable X whose expectation you are trying to compute is 30 when you roll a (6,6) and -1 otherwise.)
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Assume that the material is linearly elastic and isotropic. Derive the square-root singular field of a mode III crack. Obtain the stress field and displacement field.
Why must the electrical field lines leave the surface of a conductor perpendicularly? Explain your answers in terms of electrical potential on and near the conductor plate surface.
A study of the attendance at the University of Alabama's basketball games revealed that the distribution of attendance is normally distributed with a mean of 10,150 and a standard deviation of 2,200.
A study of the response of a human body subjected to vibration/shock is important in many applications. Develop three improved approximations for modeling the human body.
A baby's mouth is 30 cm from her father's ear and 1.50 m from her mother's ear. What is the difference between the sound intensity levels heard by the father and by the mother?
A 1Kg non-stretched balloon fabric on the ground (P0= 1 bar) is attched to a 2Kg payload. One Kg of helium is places in the balloon. How many pounds of restraint are needed to keep the assembly tethered to the ground?
Find the volume v (m^3/kg) and phase description of water with a temperature T=110C and pressure P=350kPa. Show the work and reference tables used without using EES or other programs.
A case-control study yields a 2x2 table with 2n observations in the upper-left cell, and n observations in each of the other three cells. Find the minimum value of n so that a 95% CI for the OR is entirely above 1.
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