Determining the conditionally independent
Suppose that A1, A2 are events such that P(A1B)>0. Show that A1 and A2 are conditionally independent given B (i.e., P(A1A2|B)=P(A1|B)P(A2|B) ) if and only if P(A2|A1B)=P(A2|B).
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Calculate Methane obeys the Virial equation of state Z= 1+BP/(RT), where B=206.4=159/5e133/T Cp of methane is 36.5 J/mol K.
All test specimens were 1.5 inches in diameter and 3 inches long. The failure angles were 22.5 , 32 and 34 degree respectively compute the shear stress on the ultimate failure planes.
In a major league baseball worl series, two teams A and B play a sequence of games against each other,and dthe first team that wins a total of four games wins the series. Suppose the outcomes of all games in the series are independent ant that the
If t = 0 when the light turns green, at what time does the green car catch the blue car if the green car maintains the slowest constant speed necessary to catch up to the blue car? What is the constant speed of the green car?
While exploring a cave, a spelunker starts at the entrance and moves the following distances: 75.0 m north, 300 m east, 200 m at an angle 30.0° north of east, and 150 m south. Find the resultant displacement from the cave entrance.
Determine the probability that a failure is due to induced substance. Determine the probability that a failure is due to disease or infection.
If 3.25 X 10^-3 kg of gold is deposited on the negative electrode of an electrolytic cell in a period of 2.78 hours, what is the current in the cell during the period?
A player of a video game is confronted with a series of 3 opponents and a(n) 72% probability of defeating each opponent. Assume that the results from opponents are independent (and that when the player is defeated by an opponent the game ends).
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