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Math 3020, Probability and Statistics for CSC Homework 2.4, Page 2 of 3 2. (4 points) A computer maker receives parts from three suppliers: $1, $2, and $3. 40% come from $1, 25% from $2, and 35% from $3. Among all the parts supplied by 51, 4%% are defective. For $2 and $3, the portion of defective parts are 3% and 5%, respectively. (B) What portion of all the parts is defective? (b) A customer complains that a certain part in her recently purchased computer is defective. What is the probability that it was supplied by $17 (keep 4 decimals) tastateview.. / HW 2.4 3. (4 points) A system may become infected by some spyware through the internet or email. Math 3020, Probability and Statistics for CSC Percent of the time the spyware arrives via the internet, thirty percent of the probability of in the internet, the Homework 2.4 - Conditional Probability is If via email, it is detected with probability 0.8. What percentage of times is this spyware detected? (Keep two decimals) Name Grade (total 36 points) 1. (12 points) Among employees of a certain firm, 70% know Java, 60% know Python, and 50% know both. What proportion of programmers . (4 points) A problem on a multiple-choice quiz is answered correctly with probability 0.9 (a) do not know Python? the probability of thewhounprepared student guesses between 4 possible answers, so the right answer is 1/4. Seventy percent of students prepare for the quiz. If Mr. X gives answer B 1/4, Seve he did not prepare for the quiz? (Keep 4 decimals) (b) does not know Python and does not know Java? (c) knows Java but not Python? (d) knows Python but not Java? Math 3020. Probability and Statistics for CSC Homework 2.4. Page 3 of 3 . (4 points) Among 10 laptop computers, live are good and five have defects. Unaware of this, a customer buys 6 laptops. (B) What is the probability that exactly 2 defective laptops are among them? (keep 4 decimals.) 2 decimals.) (e) if someone knows Python, what is the probability that he/she knows Java too? (keep (b) Given that at least 2 purchased laptops are defective, what is the probability that 2 decimals.) (f) If someone knows Java, what is the probability that he/she knows Python too? (keep exactly 2 are defective? (Keep 4 decimals.) a plant, 20% of all the produced parts are subject to a special electronic no defects with probability 0 95. For put the men who infected electronically has probability is only 0.7. A customer receives a part and find defects in it. What is the probability that this part went through an electronic inspection? (Keep 2 decimals) 7. (4 points) All athletes at the Olympic games are tested for performance enhancing steroid drug use. The imperfect teat gives positive results (indicating drug use) for 909 supreme the same (un incorrectly) for 276 of those who do not use steroids. what is the probability that be/she uses steroids? (Keep 4 decimals.)