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field density distributions of MgF2/WO3 1D-PC integrated structures (a) 1DPC5-425, (b) ccoenmCteporaenrdsiniadgter4thi2ne5gm ntmhbaatisse1fdDoroPmnCe5tdh-4,e2a5nAadVnTtdhme1axDeliPescCatr3p-ip6c5r0foiepsltrdriuaitncett.uenUrespsitoyanrienecx1raDema-sPienCsininsgtrttuhhceetlu1orD...
There are a number of probability distributions that are known by name which can be equivalently described by their MGF. For example, the generating function for a discrete Poisson random variable with parameter λ is M(t)=eλ(et−1) For a continuous variable which is uniform on the interv...
Let X be a random variable with the following probability distribution: |Value of x of X| P(X = x) |0| 0.10 |1| 0.75 |2| 0.10 |3| 0.05 Find E(x) and Var(X). Suppose the random variable X has the following cumulative distribut...
Let X, Y be iid RVs with common standard normal density f(x). U = X + Y and V = X^2 + Y^2. Find the MGF of the random variable (U, V). Random variables X and Y have the following joint probability distribution. Find E(X) and E...
In this context, the optical properties, i.e., the refractive index, of the inorganic backbone material become important. In the case of SiO2 (n = 1.5) a porosity of 50% is required for common glasses to establish an effective refractive index of n = 1.22 of the overall film. This ...