Basic Statistics20785 marksNumerical: probability of eventsBasic probability concepts and rules
Suppose that after 10 years of service, 40% of computers have problems with motherboards (MB), 30% have problems with hard drives (HD), and l5% have problems with both MB and HD. What is the probability that a 10-year old computer still has fully functioning MB and HD?
Suppose that after 10 years of service, 40% of computers have problems with motherboards (MB), 30% have problems with hard drives (HD), and l5% have problems with both MB and HD. What is the probability that a 10-year old computer still has fully functioning MB and HD? [5]
- $P(MB) = 0.40$ (probability of motherboard problem) - $P(HD) = 0.30$ (probability of hard drive problem) - $P(MB \cap HD) = 0.15$ (probability of both problems) - Find: $P(\text{no MB problem AND no HD problem})$ Step 1: Probability of at least one problem (Inclusion-Exclusion) $$P(MB \cup HD) ...