a) A study was done to assess the awareness of professionals in accounting, teaching and medicine about new developments in science and technology. A sample group of 955 professionals was taken and given a test. Some 410 of the professionals passed the test. Among those who passed the test 155 were accountants. Among the failures, 180 were accountants and 195 teachers. The number of teachers in the study was 345.
Required:
i). Filling in all the blank spaces, present the information in tabular form. [6 marks]
ii). If the study recommends that any professional group with more that 45% failures should enroll for an in-service programme. (Show your workings) [3 marks]
iii). The probability that a professional in accounting, medicine or teaching failed the test. (3 MKS)
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