# Tagged Questions

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### Slicing through a cuboid containing spheres, how many are exposed to the surface and what is their combined volume

So I place spheres of radius chosen at random from a normal distribution of known mean and standard deviation in a cub or cuboid at random (not overlapping) until a known density of the entire cube is ...
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### Calculation for the chance of finding something a given distance from a starting point by walking straight in a random direction?

The premise is basically a 2D plane with a single point, the starting point. Now a landmark sought by a hiker is a certain distance from that point. If the hiker can only see 1 mile in any ...
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### Griffths buffons needle

I've seen a lot of other proofs online about buffons needle, and I understand how they work, but I'm very confused about how Griffiths did this. I just can't visualize it. Needle Length L on ...
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### getting PDF from a given Moment Generating Function

if the moment generating function mgf of a random variable w is M(t)=(1-7t)-20 find the i)pdf ii)mean iii)variance of w
Let us have $k$ independent random vectors $x_1, x_2, \dots, x_k$ with uniform distribution over $\left[0;1 \right]^n$. Then the distance (preferrably Manhattan) between an arbitrary vector $x_a$ ...