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Consider the random experiment of tossing a coin twice and define the random variables: X - the number of Hs, and Y=|the number of Hs - the number of Ts|. Derive the joint distribution of (X,Y), assuming a fair coin, and check whether the two random variables are independent.
An open container holds 0.550 kg of ice at - 15.0 degree celsius. The mass of the container can be ignored. After how many minutes does the ice start to melt
A horizontal force of 60 N pushes a box that weighs 75 N across the floor at a constant speed. The coefficient of kinetic friction is 0.8. Find the rate at which power is generated by applied force
A student drove to the university from her home and noted that the odometer on her car increased by 14.0 km. The trip took 16.0 min. What was her average speed
q1. a 2.75-mm-tall object is 8.0 cm to the left of a convex lens of 5.7 cm focal length. find the image position and
A rectangular block of copper has sides of length 17 cm, 28 cm, and 44 cm. If the block is connected to a 5.2 V source across two of its opposite faces, find the following. What is the minimum current the block can carry? A
In a circus act, a 80 kilogram clown is shot from a cannon with an initial velocity of 19 m/s at some unknown angle above the horizontal. Find the kinetic energy of the clown as he lands in the net
A slide projector has a lens of focal length 150. mm. An image 100. cm × 100. cm is formed of a slide whose dimensions are 50.0 mm × 50.0 mm
a small pumpkin is launched from a very versatile catapult at a variety of speeds and angles. rank each of the
The magnitude of the dipole moment associated with an atom ofiron in an iron bar is 2.1 10-23J/T. What is the dipole moment of the bar
A metal conduit will be used as a pathway for wiring through a concrete block. What is the volume of metal in the conduit in cubic centimeters
An 8.5 gram ice cube at -10°C is put into a Thermos flask containing 200 cm3 of water at 30°C. Find by how much has the entropy of the cube-water system changed
A 50.0g thermometer is used to measure the temperature of 180g of water. The specific heat of the thermometer, which is mostly glass, is 750J/(kg?K) , find the actual water temperature before it was measured
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