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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?
A golfer, putting on a green, needs three strokes to "hole the ball." Through the first putt, the ball rolls 5.2 m due east. For the second putt, the ball travels 1.8 m at an angle 20°north of east. The third putt is 0.50 m due north.
A fully loaded station wagon has a mass of 1690 kg. If each of its four tires is inflated to a gauge pressure of 211 kPa, what is the total tire area in contact with road.
If the 800-g car runs into a stationary 300-g car at the bottom of the ramp what is the velocity of the two cars after an inelastic collision?
question a sodium-vapor lamp has power output of 10.0 w. using 589.3 nm as the average wavelength of this source
Light from a laser strikes a diffraction grating that has 4250 grooves per centimeter. Find the wavelength of the laser
A 0.320 kg croquet ball makes an elastic head-on collision with a second ball initially at rest. The second ball moves off with half the original speed of the first ball. (a) What is the mass of the second ball? kg (b) What fraction of the original k..
a silver dollar of mass 200gm, and diameter 8cm, has a small hole punched through it at 2 cm from the center. the coin is initially at rest in a vertical plain with the hole directly under the center, what is the angular velocity of the coin at its..
What is the vertical force on the support closest to piano.
The free-fall acceleration on Mars is 3.7 m/s2. (a) What length pendulum has a period of 1.8-s on Earth? cm (b) What length pendulum would have a 1.8-s period on Mars? cm An object is suspended from a spring with force constant 10 N/m
An insulating sphere is 8.00 cm in diameter and carries a 6.40 µC charge uniformly distributed throughout its interior volume. Calculate the charge enclosed by a concentric spherical surface
A hammer is hanging by a light rope from the ceiling of a bus. The ceiling of the bus is parallel to the roadway. What is the acceleration of the bus
A 2 nF and 5nF capacitors are connected in series to a 12 Volt battery. Determine voltage in a 5nF capacitor
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