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circuit board.

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Question

There are nine wires which need to be

attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint:There are nine choices for the first wire, eight for the second wire, seven for the third wire, etc.) 

 
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There are seven balls in an urn

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Question

There are seven balls in an urn. They are

identical except for color. Two are red, four are blue, and one is yellow. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color.

(b) Let P(x, y) be the probability of choosing an x-colored ball on the first draw and a y-colored ball on the second draw. Compute the probability for each outcome of the experiment. (Enter your answers as fractions.)

P(R, R) =

P(R, B) =

P(R, Y) =

P(B, R) =

P(B, B) =

P(B, Y) =

P(Y, R) =

P(Y, B) =

 
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Given P(A style=”color:rgb(0,0,0);”>) = 0.4, P(B) = 0.7, P(A | B) = 0.5

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Question

Given P(A style=”color:rgb(0,0,0);”>) = 0.4, P(B) = 0.7, P(A | B) = 0.5, do the following.(a) Compute P(A and B).  
(b) Compute P(A or B)

 
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do the following

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Question

Given P(A style=”color:rgb(0,0,0);”>) = 0.8 and P(B) = 0.6, do the following.(a) If A and B are independent events, compute P(A and B).  
(b) If P(A | B) = 0.1, compute P(A and B).

 
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