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Employees of a company may receive cash or company stock (or nothing) as a year- end bonus. The table below breaks down these incentives by

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Employees of a company may receive cash or company stock (or nothing) as a year- end bonus. The table below breaks down these incentives by years of employment: Cash Company Stock No bonus Total Less than five 62 13 5 80 years Five or more years 51 7 22 80 Total 113 20 27 160 (a) [1 mark] What is the probability that a randomly chosen employee does not receive company stock? (b) [1 mark] What percentage of employees with five or more years of employment receive no bonus? (c) [2 marks] What is the probability that a randomly chosen employee has five or more years of employment given that the employee receives a cash bonus? (d) [2 marks] Are the events having "Five or more years of employment" and receives "No Bonus" independent? Explain using probability calculations

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