plz give me heplful detailed explanation for understanding the answers!

8. A corporation with offices in Los Angeles and New York will train its administrative assistants in a new software program. Each training session accommodates 40 persons. So that some employees in every department will receive training right away, participants are chosen by using quotas for department and city. For instance, if 10 percent of the administrative assistants are in the marketing department in Los Angeles, 10 percent of the trainees will come from that department. The chart below gives the membership breakdown by department and city. Fill in the proportion (p) and number (# to attend) for each department and city. Show the general formula and an example of the computation for at least one department- city category. Chapter 1 The Statistical Imagination 27 # to # to Department Los Angeles Attend New York P Attend Personnel 36 Marketing 81 93 Shipping 65 78 Management 24 31 Accounting 25 Totals 231 40 283 409. You are interested in the phenomenon of personalized license plates, plates on which the owner has his or her name or a saying. In a random sample of 341 plates, you find that 73 are personalized. What proportion is not personalized? 10. There are 768 frogs in Noisy Pond. Sixty-one percent are male. Seventy- five percent of the frogs have warts. All things being equal (i.e., male and female frogs have an equal chance of being "warted"), how many male frogs would you expect to have warts? 11. Complete the following table by calculating the rate of institutionalization (prisons and mental hospitals) per hundred thousand population. Show the general formula and the computation for Anderson, Indiana. Number of Persons Rate per 100,000 City Population Institutionalized Population Anderson, Indiana 130,669 3,981 Bellingham, Washington 127,780 1,602 Duluth, Minnesota 239,971 4,610 Modesto, California 370,522 4,456 12. Complete the following table by calculating the rate of institutionalization (prisons and mental hospitals) per hundred thousand population. Show the general formula and the computation for Bakersfield, California. Number of Persons Rate per 100,000 City Population Institutionalized Population Bakersfield, California 543,477 10,808 Burlington, North Carolina 108,213 1,158 Great Falls, Montana 77,691 787 Poughkeepsie, New York 259,462 11,082