please use correct formulae and confidence level 95% if needed

AutoSave . OFF ~ 4 6 565 : MAT10251 Special Exam Resit Exam Study Period 4 2020 Online - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Tell me Share Comments Calibri (BO... ~ 12 A" A Aa Ap EVENEVENT AaBbCcDdE AaBbCCD AaBbCcDdl AaBbCcDdl AaBbCcDdEt AaBb Paste BIUvabX x A LA - Emphasis Heading 1 Normal Strong Subtitle Title Styles Dictate Sensitivity Pane Question 4 (12 Marks) The following table classifies the residents of a regional area of New South Wales by gent and age. Gender Age (years): Males Females Persons 0-4 years 1,153 1, 156 2,309 5-9 years 1,464 1,351 2,815 10-14 years 1,479 1,392 2,871 15-19 years 1,429 1,423 2,852 20-24 years 1,265 1,229 2,494 25-29 years 1,056 1,131 2,187 30-34 years 1,085 1,224 2,309 35-39 years 1,198 1,318 2,516 40-44 years 1,273 1,497 2,770 45-49 years 1,455 1,595 3,050 50-54 years 1,622 1,742 3,364 55-59 years 1,767 1,823 3,590 60-64 years 1,731 1,668 3,399 65-69 years 1,413 1,363 2,776 70-74 years 906 941 1,847 75-79 years 616 752 1,368 80-84 years 400 520 920 85-89 years 287 473 760 90 years and over 123 286 409 Total 21,722 22,884 44,606 Data obtained from Australian Bureau of Statistics, Census of Population and Housing: General Community Profile, Australia, 2016 www.abs.gov.au accessed July 2020 (a) If a resident is chosen at random, what is the probability that the resident is; (i) female? (mi) is female and at least 80 years old? (b) What is the probability that a female chosen at random is at least 80 years old? (c ) Calculate and interpret P(Female | At least 80 years) ( d) Are the events "Female" and "at least 80 years" statistically independent? Justify your answer. Solution Question 4 Page 7 of 27 986 words English (United States) Focus E + 121%