Three independent components are connected in series

MATHEMATICS · Single correct · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

Three independent components are connected in series. Their individual probabilities of working are

0.9,\;0.8

and

0.95

respectively. Find the probability that the system fails. (a)

0.350

(b)

0.684

(c)

0.283

(d)

0.316