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Suppose the counts recorded by a Geiger counter follow a Poisson process with an average of three counts per minute.
(a) What is the probability that there are no counts in a 30-second interval ?
(b) What is the probability that the first count occurs in less than 10 seconds?
(c) What is the probability that the first count occurs between 1 and 2 minutes after start-up?
(d) What is the mean time between counts?
(e) What is the standard deviation of the time between counts?
(f) Determine x, such that the probability that at least one count occurs before time x minutes is 0.95.
Test reveal that a normal driver takes about 0.75s before he can react to a situation to avoid a collision. It takes about 3 seconds for a drunk driver to do the same. If such drivers are traveling on a straight road
Specify a device describing briefly its principle of operation, that is typically installed downstream of a bursting disc as an indicator of disc rupture,
A small plot of land has measured dimesnions of 50 by 150 ft. the incertianity in the 50-ft is +/- 0.01 ft. Calculate the uncertianity heith which the 150-ft must be measred to ensure that the total uncertainty is not greater than 150%.
The relative roughness ofa pipe is 0.0005, if the blasius equation is applicable for Thecflow Reynolds number above 2700 rather then 3000
If friction between the cars and the rails is neglected, what were the magnitude and the direction of the velecity of the cars after the collision?
An airplane is flying at 10.6 km altitude. in its nonpressured cargo bay is a container of mercury 325 mm deep. The container is vented to the local atmosphere.
A simple four-leg intersection needs a 2-phase fixed-time signal. The critical flows in the N-S and E-w directions are 600 and 400 veh/hr, respectively, with a 0.95 peak-hour factor.
water flows through a pipe of diameter 3 inches. If it is desired to use another pipe for the same flow rate such that the velocity head in the second pipe is four times the velocity of the first pipe.determine diameter of pipe
The gasoline at point C and time t has an acceleration given by a=(-12i+40k) ft/s^2 where i and k are the horizontal and vertical unit vectors. Find the rate of increase of the piezometric head and the pressure in the x,y,z and a directions.
a new sports car has a drag coefficient of 0.30 and a frontal area of 21 ft^2, and is traveling at 119 mi/h. how much power is required to overcome aerodynamic drag if p = 0.002378 slugs/ft^3
The measurements of the nominal shear strength (in kN) for a sample of 15 prestressed concrete beams are as follows: 580 400 428 825 850 875 920 550 575 750 636 360 590 735 950
A driver traveling on a roadway decides to overtake a slow-moving truck traveling at 15 mph. The accelerating characteristic of the car is given by the following: dv/dt= 2.08-0.032v where v is the speed (ft/sec), and t is the time (sec).
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