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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.
Differentiate following functions. (a) f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t
Next we have to talk about evaluating functions. Evaluating a function is in fact nothing more than asking what its value is for particular values of x. Another way of looking at
let X be a nonempty set. let x belong to X. show that the collection l={ union subset of X : union = empty or belong U
Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b
48 more than the quotientvof a number and 64
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joey asked 30 randomly selected students if they drank milk, juice, or bottled water with their lunch. He found that 9 drank milk, 16 drank juice, and 5 drank bottled water. If the
two consecutive integers sum to 39, what they?
#question.what is the meaning of this
A company is setting up an assembly line to produce 100 units/hour. The table shown below identifies the work elements, times, and immediate predecessors. a) What cycle tim
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