I". If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks. calculate the probability that there will not be more than one failure during a particular week. 8. If you flip a coin El timesr compute for the probability of finding exactly 4 or 5 heads. 9. The student coundil of IE-EMGSEM will be sponsoring a leadership training for 4 students next summer. Twenty male students and fifteen female students enlisted for the training. What is the probability that IE-EMG-SEM will select exactly 1 female at random. 1D. Five individuals form an animal population thought to be near extinction in a certain region have been caughtr tagged. and released to mix into the population. After they have had an opportunity to mix. a random sample of 10 of these animals is selected. Let x = the number of tagged animals in the second sample. If there are actually 25 animals of this type in the region. what is the ELK]? 11. F'LDT has a number of inquiries arriving in their system at 3 inquiries per minute. 1Il'lihat is the probability that an inquiry will arrive in a 2minute interval? 12. Mapua will battle San Eeda for the NCAA championship this year. Mapua have a 60% chance of winning over San Beda. Create a frequency distribution table for all the possibility that Mapua will win at least 1 game out of 4 games. 13. An acceptance plan calls for the inspection of a sample of "1'5 articles out of a lot of ll]. If there are no nonconforming articles in the sample, that lot is accepted; otherwise. it is rejected. [Use binomial and poisson approximations] a.) Find the probability that if a lot of 1% nonconforming is submitted. it will be accepted. b.) If a lot containg 2% nonconforming is inspected. what is the probability that it will be rejected