(merging of independent pps). let (n1(t))t≥0 and (n2(t))t≥0 be the counting processes of two independent pps of rates λ1 and λ2, respectively. define a new counting process (n(t))t≥0 by n(t) = n1(t)+ n2(t). (7) in this exercise, we show that (n(t))t≥0 ∼ pp(pλ). (i) let τ (1) k , τ (2) k , and τk be the kth inter-arrival times of the counting processes (n1(t))t≥0, (n2(t))t≥0, and (n(t))t≥0. show that τ1 = min(τ (1) 1 ,τ (2) 1 ). conclude that τ1 ∼ exp(λ1 +λ2).

step-by-step explanation:

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1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation: