Question

A large corporation has 500 employees who are classified below according to their creative skills and language skills.

Language skills Creative skills Good 120 20 Average 72 80 34 Poor High Moderate Low 36 60 70

(a) If an individual is randomly selected from the corporation,

(i) what is the probability that the one selected is highly creative and also has good language skills?

(ii) what is the probability that the one selected is moderately creative or has average language skills?

(iii) what is the probability that the one selected has average language skills given that he or she is highly creative?

(b) Are the events of having low creative skills and having good language skills statistically independent? Explain briefly.

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