Question: An interior designer makes a presentation to potential clients and this results in sales of her services in 35% of the cases. Let X denote

An interior designer makes a presentation to potential clients and this results in sales of her services in 35% of the cases. Let X denote the number of sales in the next four presentations. Assuming the results for different clients are independent, cal-culate the probabilities f(x) = P[X = x] for x = 0, 1, ... 4 and find
(a) P[X < 3]
(b) P[X > 3]
(c) P[X = 2 or 4]

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