Expected number of remaining couples
Suppose a population consists of n pairs of people, meaning there 2n people in the population. Suppose k of the people die. What is the expected number of remaining couples?
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Vector s makes angle of 45 degree with x-axis , and 60 degree with y-axis , and it is also in the positive octant. What is the angle between r and s?
You are invited to play the following game. You may repeatedly roll a fair six-sided die unless you roll a one, at which point you must stop, but you may also elect to stop at any point.
A hollow sphere is constructed of aluminum with an inner diameter of 4 cm and an outer diameter of 8 cm. The inside temperature is 100 C and the outer temperature is 50 C.
A student in the concrete lab places 5 low-strength concrete test cylinders (3500 PSI) with a batch of 8 high-strength concrete test cylinders (8000 PSI). If 5 cylinders are tested, what is the probability that 2 are low strength and 3 are high st
An adiabatic control volume with steam as the working fluid operates at steady flow conditions, with the inlet state of 4000 kPa, 300°C, with a velocity of 40m/s.
A survey finds that 55 people out of 170 favor increasing property taxes to help pay for a new library. If this data is used to estimate the population proportion who favor new taxes, the standard error of the estimate is:
A 100.0 pF air-filled capacitor consists of two circular plates of radius 0.40 mm. How far apart are the plates?
A long cylinder of radius ro=20cm, and thermal conductivity k=3 w/mK is immersed in a fluid of convection coefficient h=30W/m2K and the unknown temperature T∞.
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