A system contains three independent electronic components P, Q and R with…
MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
A system contains three independent electronic components P, Q and R with probabilities of functioning during a specific operation equal to 0.90, 0.95 and 0.80 respectively.
The system is considered to operate successfully if at least two of the three components function.
Answer the following, giving complete working:
(i) Calculate the probability that exactly one component functions.
(ii) Determine the probability that all three components function.
(iii) Hence find the probability that the system operates successfully.