'Fundamentals of STATISTICAL AND THERMAL PHYSICS' - (See attached file for full problem description)
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An ideal Fermi gas is at rest at absolute zero and has a Fermi energy mu...
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Median Integration - Solve the median for the probability density function in the attached file 'Median.doc'.
Probability Class - Introductory 400 Level - Jointly Distributed Random Variables - The joint density function of X and Y is given by f(x,y)=xe^[-x(y+1)], x>0, y>0.
a) Find the conditional density of X, given Y=y and that of Y, given X=x.
b) Find the density function of Z=XY.
expectation - 1) a coin having probability p of coming up heads is continually flipped until both heads and tails have appeared. find (a) the expected number of flips (b) the probability that the last flip lands heads
2) Ten hunters are waiting for ducks to fly by. when a flock of ducks flies overhead, the hunters fire at the same time, but each chooses his target at random, independently of th...
A lake contains 4 distinct types of fish - #18. A lake contains 4 distinct types of fish. Suppose that each fish caught is equally likely to be any one of these types. Let Y denote the number of fish that need be caught to obtain at least one of each type.
(a) Give an interval (a, b) such that P{a ≤ Y ≤ b} ≥ 0.90.
(b) Using the one-sided Chebyshev inequality, how many fish need...