An electrical component requires 3 different integrated circ

An electrical component requires 3 different integrated circuits.For convenience label them C1, C2, C3. Each circuit can either be acceptable (a) or it fails (f). The outcome of interest is the acceptability or failure of each circuit for one component.
a)List the elements of this sample space. (The elements are also called the simple events.)
b)List the elements of the event Z = {C3 fails}
c)List the elements in the event Y = {C! is acceptable}
d)Are events Z and Y mutually exclusive?
e)List the elements of the event J = {more than 1 circuit is acceptable}
f)List the elements of the event K = {at least 2 circuits fail}
g)Are events J and K mutually exclusive?

Solution

A) {C1F,C1A.C2A,C2F,C3A,C3F}

B){C3F,C3FC1A,C3FC1A,C3FC2A,C3FC2F,C3FC1AC2A,C3FC1FC2F,C3FC1AC2F,C3FC1FC2A}

C){REPLACE C1A IN PLACE OF C3F ABOVE}

D NO

E){SAME AS B BUT WITH TWO CIRCUITS AND THREE}

F){C1FC2FC3A,C1FC2FC3F,C1AC2FC3F,C1FC2AC3F}

G) NO