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adell [148]
4 years ago
12

Three intermittent switches A; B; C are in a box. Switches A; B and C work 75%, 50% and 25% of the time, respectively. Suppose s

witches are selected with equal probability from the box.
(a) Find the probability that the selected switch works

(b) Find the probability that the selected switch is not switch C; given that the selected switch works.
Engineering
1 answer:
Ipatiy [6.2K]4 years ago
4 0

Answer:

a) probability of selecting working switch= (probability of A getting selected)x(working probability of A)+(probability of B getting selected)x(working probability of B)+(probability of C getting selected)x(working probability of C)=0.75/3+0.5/3+.25/3=0.5

b)its conditional probability p(A|B)=p(AnB)/p(B)=(0.75/3+0.5/3)/(0.75/3+0.5/3+.25/3)=5/6=0.833

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<h3>How to determine the differential of a one-variable function</h3>

Differentials represent the <em>instantaneous</em> change of a variable. As the given function has only one variable, the differential can be found by using <em>ordinary</em> derivatives. It follows:

dy = y'(x) · dx     (1)

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