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in a batch of 10 laser diodes, two have efficiency below 0.28 , six have efficie

ID: 3134587 • Letter: I

Question

in a batch of 10 laser diodes, two have efficiency below 0.28 , six have efficiency above 0.35. two diodes are selected at random and without replacement. are the events E1 and E2 are independent ? E1= first diode selected has efficiency below 2.8. and E2= second diode selected has efficiency above 3.5. are they independent ?
in a batch of 10 laser diodes, two have efficiency below 0.28 , six have efficiency above 0.35. two diodes are selected at random and without replacement. are the events E1 and E2 are independent ? E1= first diode selected has efficiency below 2.8. and E2= second diode selected has efficiency above 3.5. are they independent ?

Explanation / Answer

E1 and E2   are indepdent because 0.28*0.35 = 0.098