SOLUTION: The "Jerry Built Company" manufactures 20% of the washing machines in a small town. The probability of a washing machine breaking down within a year is .05. The probability of a wa

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Question 866996: The "Jerry Built Company" manufactures 20% of the washing machines in a small town. The probability of a washing machine breaking down within a year is .05. The probability of a washing machine made by the "Jerry Built Company" breaking down within a year is .15.
Use the Test for Independence to determine if the events J = “made by the Jerry Built Company” and B = “breaks down within a year” are independent.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The "Jerry Built Company" manufactures 20% of the washing machines in a small town. The probability of a washing machine breaking down within a year is .05.
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The probability of a washing machine made by the "Jerry Built Company" breaking down within a year is .15.
Use the Test for Independence to determine if the events J = “made by the Jerry Built Company” and B = “breaks down within a year” are independent.
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P(break down | Jerry built) = 0.15
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P(break down)*P(Jerry built) = 0.05*0.20 = 0.01
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Since the two are not equal, the two factors are dependent.
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Cheers,
Stan H.