Mathematics, 12.11.2019 05:31 allenpaietonp9v8sv
Agroup of four components is known to contain two defectives. an inspector tests the components
one at a time until the two defectives are located. once she locates the two defectives, she
stops testing, but the second defective is tested to ensure accuracy. let y denote the number of
the test on which the second defective is found.
a) find the probability distribution for y .
b) if the cost of testing a component is $2 and the cost of repairing a
defective is $4, find the expected total cost for testing and repairing the lot.
c)find the variance for the total cost for testing and repairing of the lot.
Answers: 3
![\bf \left[\begin{array}{ccc}Arrangement&Y&Cost\;test+repair\\CCDD&4&2+2+6+4=14\\CDCD&4&2+6+2+4=14\\DCCD&4&6+2+2+4=14\\DCDC&3&6+2+6=14\\DDCC&2&6+6=12\\CDDC&3&2+6+6=14\end{array}\right]](/tpl/images/0370/2553/00f9e.png)
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Agroup of four components is known to contain two defectives. an inspector tests the components
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