Question

Suppose in a parallel universe the probability distribution for a gas is proportional to v^7 from...

Suppose in a parallel universe the probability distribution for a gas is proportional to v^7 from v=0 to v=1, and is 0 for all other v's. Normalize the distribution then determine the rms velocity for a gas in this universe.
Math   Statistics-And-Probability   
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Answer #1

for 0 v 1

where k is normalizing constant.

Now,

Thus, the probability distribution of velocity for a gas is,

for 0 v 1

The rms velocity for a gas in this universe is,

0 0
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