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An education study gives information on the study mode

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Question: An education study gives information on the study mode (full-time or part-time) of students studying for a post-school qualification as well as their employment status. This information is summarised in the following table, expressed in percentages (%) of students enrolled in post-school education:

Employment status       Studying full-time       Studying part-time
Employed full-time                6.4                          37.7
Employed part-time              18.1                         12.2
Not employed                      17.4                          8.2

(a) Suppose that you select a full-time student. What is the probability that they are not employed?

(b) Suppose that you know that a student is employed full-time. What is the probability that they are studying full-time?

(c) Are the two events, 'employed full-time' and 'studying full-time', statistically independent? Explain.

(d) What is the probability that a part-time student is in full-time employment?

(e) What is the probability that a part-time student is not in full-time employment?

Reference no: EM13583766

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