Poisson distribution with a mean
Suppose X has a Poisson distribution with a mean of 7. Determine the following probabilities:
(a) P(X = 8) =
(b) P(X < 2) =
Round your answers to four decimal places (e.g. 98.7654).
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7 million gallons per day (MGD) of a conservative substance, with concentration 13.5 mg/L, is released into a stream having an upstream flow of 20.0 MGD and substance concentration of 5.0 mg/L.
A hair dryer has a power rating of 1300 W at 120 V rms. Assume the hair dryer circuit contains only resistance. (a) What is the resistance of the heating element?
Find kinetic energy T of the whole system for the case where the arm rotates in horizontal plane with constant angular velocity .
A variable capacitor with negligible resistance is connected to an ac voltage source. By what factor does the current in the circuit increase if the capacitance is increased by a factor of 7.0 and the driving frequency is increased by a factor of
A 0.440-µF capacitor is connected across the terminals of a variable frequency oscillator. (a) What is the frequency when the reactance is 6.81 kO?
A solution is prepared by dissolving 19.1 g ammonium sulfate in enough water to make100.0 mL of stock solution. A 15.00 mLsample of this stock solution is added to 55.00 mL of water.
Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in the Milky Way Galaxy in the vicinity of our solar system is one star per 16 cubic light years.
What will be the resulting velocity of the cord with attached weight B if the pulley may be regarded as a thin solid disk of mass m and outer radius R?
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