Consider the pdf of the random variable X. f(x) = 6x(1 - x); 0 \leq x \leq 1 a. Calculate the cumulative distribution function (cdf) of X. b. Using the above cdf, calculate P(0.5 is less than X is Explain how to calculate the Pr...
Acumulant generating function(CGF) takes themomentof aprobability density functionand generates thecumulant. More specifically, the logarithm of a CGFMof a random variableXgenerates a sequence of numbers — the cumulants ofX. The concept is similar to how amoment generating function (MGF)generates i...
Not a function: “one to many“. In other words, let’s say you had one x-value that maps to many y-values. For example, — in coordinate notation — (2,1) and (2,10). If the first number (the x-value) repeats, then you do not have a function. To put that another way, ...
Thesystemabovehasapolarization-independent50/50beamsplittercube.ThecubeismadeoutofMgF 2 coatedN-BK7glass.The50/50coatingis ideal,beingindependentofpolarization,incidentangleandwavelength.Thereflectedrays,showningreen,reflectfromthebottommirrorbefore reachingthetopimagesurface.Wewillcalculatethecorrectintensitiesatboth...
The ratio of KClO3 to O2 is 2/3. It doesn’t matter which number goes on top or on bottom as long as you keep the same compounds on the top and bottom throughout the rest of the problem.[11] 4 Cross-multiply by the molar ratio to find moles of other reactant. To calculate th...