4. $\boldsymbol+}-/ 0.18$ points devorestat9 2.e.026.nva A certain system can experience three different types of defects. Let $A_{i} (i=1,2,3)$ denote the event that the system has a defect of type $/$, Suppose that the following probabilities are true. $$ \begin{array}{111) P\left(A_{1} ight)=0.15 & P\left(A_{2} ight)=0.11 & P\left(A_{3} ight)=0.08 W P\left(A_{1} \cup A_{2} ight)=0.18 & P\left(A_{1} \cup A_{3} ight)=0.18 P\left(A_{2} \cup A_{3} ight)=0.15 & P\left(A_{1} \cap A_{2} \cap A_{3} ight)=0.02 \end{array} $$ (a) What is the probability that the system does not have a type 1 defect? (b) What is the probability that the system has both type 1 and type 2 defects? (c) What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? (d) What is the probability that the system has at most two of these defects? S.P.PB. 232