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A machine manufactures some items in a d...

A machine manufactures some items in a day of which 5% are defective. 10 items are checked one by one with replacement. Find the probability that there is atleast on defective item.

Text Solution

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Let X denotes the no. of defective items selected.
`P5/100=1/20 implies q=1-1/20=19/20`
`P(Xgt=1)=1-P(X=0)`
`=1-(19/20)^10`
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