At an electronics firm, 35% of the employees are executives, 40% of the employee

Question

At an electronics firm, 35% of the employees are executives, 40% of the employees are Republicans and 20% of the employees are executives who are Republicans. (i) are the events "executive" and "Republican" independent? State "yes" or "no" and justify your answer. ; (ii) If we select an employee at random from this firm, what is the probability that they are (a) an executive but not a republican, (b) a Republican but not an executive, (c) either an executive or a Republican, (d) neither an executive nor a Republican.

Explanation / Answer

(i) NO because P(exec intersection repub) is not equal to P(exec)*P(repub) (ii) (a) 0.15 (b) 0.2 (c) 0.55 (d) 0.45

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