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Events, occuring according to a Poisson process with rate lamda, areregistered by a counter. However, each time an event is registeredthe counter becomes inoperative for the next b units of time and doesnot register any new events that might occur during that interval. R(t) denote the number of events that occur by time t and areregistered. (a) Find the probability that the first k events are all registered. (b) For t >= (n-1)b, find P{R(t) >= n}.
Construct the green's function that satisfies xG''-(2x+1)G'+(x+1)G= ?(x-s), G(0,s)=G(1,s)=0
To the nearest tenth of a cubic inch, how much volume is added to a spherical balloon whose radius grows from 10 to 20 inches long?
a person traveled 120 miles in one direction. The return trip was accomplished at double the speed and took 3 hours less time. Find the speed going.
A car is traveling at 94 km/h when the driver sees an accident 50 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?
The following model is proposed to describe population growth in a confined space. The excess of births over natural deaths causes a growth rate of a times the current number of individuals N.
Matrice operations solve the problem
Find f'(x) using the appropriate rule and simplify to one expression with positive exponents. Find all values of x, using algebra, where f'(x)=0 (Write your answer with positive exponents)
A committee of four is to be randomly selected from a group of seven teachers and eight students. Find the probability that the committee will consist of four students.
How does the author determine what the first equation should be? What about the second equation? How are these examples similar? How are they different?
It is a common experience to hear the sound of a low flying airplane, and look at the wrong place in the sky to see the plane. Suppose that a plane is traveling directly toward you at a speed of 200 mph and an altitude of 3,000 feet
Fenced-In Land. A farmer has 100 yd of fencing. What are the dimensions of the largest rectangular pen that the farmer can enclose?
Trading cards cost $12.00 before sales tax and $12.60 after sales tax. what is the sales tax rate?
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