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1. An engineering system has two components that function independently. Suppose

P( Component 1 fails ) = 0:1

P( Componet 2 fails ) = 0:2

Find the probability that the system does not fail in the following situations:

(a) The components are connected in series: that is, the system works only when both components

function.

--- 1 component -->2 component

(b) The component are in parallel; that is, the system works if either component functions.

1 2

1 component _ }

==============>>

2---} component_---}

1. An engineering system has two components that function independently. Suppose P( Component 1 fails ) = 0.1 P( Componet 2 fails ) = 0.2 Find the probability that the system does not fail in the following situations: (a) The components are connected in series: that is, the system works only when both components function. 2 (b) The component are in parallel; that is, the system works if either component functions. 2