The percentage X of a particular compound contained in a rocket fuel follows the distribution N (33, 3), though the specification for X is that it should lie between 30 and 35. The manufacturer will...

Extracted text: The percentage X of a particular compound contained in a rocket fuel follows the distribution N (33, 3), though the specification for X is that it should lie between 30 and 35. The manufacturer will get a net profit (per unit of the fuel) of Rs. 100. if 30 <>< 35,="" rs.="" 50,="" if=""><><30 or=""><><40 and="" incur="" a="" loss="" of="" rs.="" 60="" per="" unit="" of="" the="" fuel="" otherwise.="" find="" the="" expected="" profit="" of="" the="" manufacturer.="" if="" he="" wants="" to="" increase="" his="" expected="" profit="" by="" 50%="" by="" increasing="" the="" net="" profit="" on="" that="" category="" of="" the="" fuel="" that="" meets="" the="" specification,="" what="" should="" be="" the="" new="" net="" profit="" per="" unit="" of="" the="" fuel="" of="" this="">