The amount of pollutant X released by an industry should lie between 30 and 35. Assume that X is normally distributed with mean =33 and S.D.=3. The industry gets profit of Rs. 100 when 30<X<35; Rs. 50 when 25<X≤30 or 35≤X<40 and incurs a fine of Rs. 60 otherwise. Determine the expected profit for the industry.
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