Assume that the random variables x 1 , . . . , x n are independent and binary {-1, 1}-valued with p { x i = 1 } = p i and that f : { 1, 1 } n r has the bounded differences property with constants c 1 , . . . , c n . Show that if z = f ( x 1 , . . . , x n ) , n var ( z ) c 2 i p i ( 1 p i )
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Taking A as centre, draw a circle of radius 4 cm and taking B
Construct tangents to each circle from the centre of the other circle.
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