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(a) Two ordinary dice with faces labelled 1, . . . , 6 are thrown. What is the probability distribution of the sum of the values? What is the probability distribution of the absolute difference between the values?
(b) One hundred ordinary dice are thrown. What, roughly, is the probability distribution of the sum of the values? Sketch the probability distribution and estimate its mean and standard deviation
(c) How can two cubical dice be labelled using the numbers {0, 1, 2, 3, 4, 5, 6} so that when the two dice are thrown the sum has a uniform probability distribution over the integers 1-12?
(d) Is there any way that one hundred dice could be labelled with integers such that the probability distribution of the sum is uniform?
The intensity of light from a lightbulb is 12 W/m2 at a distance of 0.45 m from the bulb. What is the intensity across the room at a distance of 2.5 m?
The diameter of its nucleus is1.1×10 −14 m and the diameter of an atom is1.0×10 −10 m. What percent of the atom's volume is occupied by the massive nucleus?
gasoline flows into a storage container at the rate of 32.5galmin. the storage container is 13.0 ft wide 17.0 ft long
A fire hose 4.19 cm in diameter is capable of spraying water at a velocity of 16.3 m/s. what horizontal force should a fireman exert on the hose to keep it stationary
A motorcycle daredevil plans to ride up a 2.50m high 25.0° ramp, sail across a 10-m-wide pool filled with hungry crocodiles, and land at ground level on the other side.
A lawnmower is pushed up a 13 degree hill. The lawnmower weighs 5000N. What is the magnitude and direction of the person pushing the lawnmower
An object of mass 4 kg is initially at rest on a frictionless ice rink. It suddenly explodes into three pieces . One chunk of mass 1 kg slides across the ice with a velocity 1.2 ms-1 i and another chunk of mass 2kg slides across the ice with a veloci..
if a car wheels are locked and the resulting skid marks are 150m long, how fast was the car going when the wheel became locked
It is observed that the size of a real image formed by a concavemirror is four times thesize of the object when the object is 32.5 cm in front of the mirror. What is the radius of curvature of this mirror?
A fan at a rock concert is 35m from the stage, where sound intensity level is 125 dB. Her eardrums have a diameter of 8.07mm. How much energy is transferred to each eardrum in one second? (Distance from the speaker to the edge of the stage is 1 m...
Discuss current and future practices in response to terrorism and related violence.
A 2.4-kg block is dropped from a height of 5.0 m onto a spring of spring constant 3955 N/m. When the block is momentarily at rest, the spring has compressed by 25 cm.
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