Posted by **sam** on Friday, November 4, 2011 at 10:30am.

A rocket fuel is to contain percent X of a particular chemical. The specification limits for X are 30 to 35%. The manufacturer will make a profit Q(x) on fuel per gallon as follows.

Q(x)=

10 cents if 30<=x<=35

5 cents if 35<x<40 or 25<x<30

-10 cents otherwise

Assuming X has a normal distribution with mean 33 and standard deviation 3, calculate expected profit, E(Q(X)).

I don't understand how to determine E(Q(X)) without a pdf.

- statistics -
**Anonymous**, Friday, April 20, 2012 at 2:00pm
n=100, p=1/4

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