Statistics Canada reported that the average annual family income in British Columbia in 2019 was 87.6 (in $ thousands). Suppose annual family income in the province was normally distributed with a standard deviation of 7.96 (in $ thousands). Enter percentage answers in percent form (i.e. 3.00%% instead of 0.03). Round all final answers to 2 decimals.

(a) What is percent of British Columbia families had annual income between 82.7 and 101.1?

(b) What is percent of British Columbia families had annual income 99.5 or more? (c) What is percent of British Columbia families had annual income 70.7 or less?

The Business Management Aptitude Test is an Internet based skill assessment developed to assist in identifying key points relating to work behavior and motivation, and indicate possibilities for self-development. The test helps to discover if an individual has the "right stuff" for a career in management. Suppose that scores on a certain management aptitude examination are normally distributed with a mean of 72 and a standard deviation of 7.

Round all final answers to 2 decimals.

(a) What is the lowest score that will place a manager in the top 15 % (or P85P85 percentile) of the distribution?

(b) What is the highest score that will place a manager in the bottom 13% (orP13P13 percentile) of the distribution?

(c) Human Resources want to interview the best 23% of applicants. Starting from what score should HR include applicants in this group?