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1. Why do we care about heterogeneity and dependence in statistical models?
2. Explain how the idea of sequential conditioning helps to deal with the problem of many dimensions of the joint distribution of a non-random sample.
A 0.03 kg (lead) bullethits a steel plate and melts and splatters on impact. Assuming that the bullet recieves 80% of the collision energy, at what minimium speed must it travel to melt on impact? How is this soved without knowing what the bullet is ..
one mole of a monatomic ideal gas is in a fixed volume container and is in thermodynamic equilibrium with its
A camera has a f=50 mm (f=5 cm) lens. A 1.0 mm (0.1cm) tall ant is 200 mm (20 cm) from the lens. Where should the film be placed
How do people take advantage of thermal expansion for practical purposes? How can thermal expansion cause problems for people?
Calculate the relativistic kinetic energy of a 920 kg car moving at 33 m/s if the speed of light were only 45 m/s
A compound microscope consists of a 20X eyepiece and a 100X objective, and has a standard tube length L = 160 mm. The microscope is designed for a user with normal vision, i.e. with a near point of 25 cm. The microscope is used to image a cell o..
The planet Saturn has a satellite, Calypso, which travels in an orbit of radius 2.950×108 m with a period of 1.89 days. Calculate the mass of Saturn from this information
A conducting sphere carrying a charge ‘q' has a radius ‘a'. It is inside a concentric hollow conducting sphere of inner radius ‘b' and outer radius ‘c'. What is the charge on the outer surface
You have been hired as a consultant for the new Star Trek TV series to make sure that any science on the show is correct. Calculate the acceleration of one of the asteroids in the proposed configuration
On Apollo Moon missions, the lunar module would blast off from the Moon's surface and dock with the command module in lunar orbit. Find the impact speed of the lunar module
An attacker at the base of a castle wall 3.60 m high throws a rock straight up with speed 4.50 m/s from a height of 1.40 m above the ground. Will the rock reach the top of the wall
Which two particles that make up atoms have about the same mass? Which two have the same magnitude of electric charge? What is an electric current, and what are its units? (Give two equivalent units.)
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