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1. Let ,
where are independent identically distributed random variables according to an exponential distribution with parameter μ. N is a Binomially distributed random variable with success probability p. Determine the Laplace transform of the probability distribution of the random variable Y.
2. Given a Poisson arrival process with parameter λ, determine the distribution of the number of arrivals during an exponentially distributed time interval with parameter μ.
approximate the following problem as a mixed integer program. maximize z=e-x1+x1+(x2+1)2 subject to x12+x2 =0
Variable stars are ones whose brightness varies periodically. One of the most visible is R Leonis; its brightness is modelled by the function where t is measured in days.
Three Dimensional geometry Intorduction In earlier classes we studied about the coordinates in two planes that is the XY plane. Here we are going to study in detail about th
Jackie invested money in two different accounts, one of that earned 12% interest per year and another that earned 15% interest per year. The amount invested at 15% was 100 more tha
Indeterminate form : The 0/0 we initially got is called an indeterminate form. It means that we don't actually know what it will be till we do some more work. In the denominator
Consider a database whose universe is a finite set of vertices V and whose unique relation .E is binary and encodes the edges of an undirected (resp., directed) graph G: (V, E). Ea
Write an algebraic expression for “Julie runs three miles less than twice the number of miles,
What is the answer for I am greater than 30 and less than 40. The sum of my digits is less than 5.
Tangents with Parametric Equations In this part we want to find out the tangent lines to the parametric equations given by X= f (t) Y = g (t) To do this let's first r
A lobster catcher spends $12 500 per month to maintain a lobster boat. He plans to catch an average of 20 days per month during lobster season. For each day, he must allow approx
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