Assignment 1 2.4 Among employees of a certain firm, 70% know C/C++, 60% know Fortran, and 50% know both languages. What portion of programmers (a) does not know Fortran? (b) does not know Fortran and does not know C/C++? (c) knows C/C++ but not Fortran? (d) knows Fortran but not C/C++? (e) If someone knows Fortran, what is the probability that he/she knows C/C++ too? (f) If someone knows C/C++, what is the probability that he/she knows Fortran too?

2.8 A shuttle’s launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02, respectively. If any of the key devices fails, the launch will be postponed. Compute the probability for the shuttle to be launched on time, according to its schedule. 2.16 A computer maker receives parts from three suppliers, S1, S2, and S3. Fifty percent come from S1, twenty percent from S2, and thirty percent from S3. Among all the parts supplied by S1, 5% are defective. For S2 and S3, the portion of defective parts is 3% and 6%, respectively. (a) What portion of all the parts is defective? (b) A customer complains that a certain part in her recently purchased computer