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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.
Prove that A tree with n vertices has (n - 1) edges. Ans: From the definition of a tree a root comprise indegree zero and all other nodes comprise indegree one. There should
remainder theorem
v=u+at s=ut+1/2at^2
The low temperature in Anchorage, Alaska today was negative four degrees. The low temperature in Los Angeles, California was sixty-three degreees. What is the difference in the two
20% of the total quantity of oil is 40 litres find the total quantity of oil in litres
( 1/2)2 x 1/5+1/6=
Assume that i) Determine all the roots of f(x) = 0. ii) Determine the value of k that makes h continuous at x = 3. iii) Using the value of k found in (ii), sh
We have claimed that a randomly generated point lies on the equator of the sphere independent of where we pick the North Pole. To test this claim randomly generate ten vectors i
The point which divides a gven line - segment externally: Construction : i )Draw BX making an actue angle at B. ii) Starting from B mark three equal points on BX as sh
In figure, XP and XQ are tangents from X to the circle with centre O. R is a point on the circle. Prove that XA+AR=XB+BR Ans: Since the length of tangents from externa
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