Normal Distribution Statistics

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Normal Distribution Statistics

Postby lora » Sat Apr 20, 2013 5:27 pm

Statistics Normal Distribution - IB Maths HL


How can we find the percentage of the population will benefit from a new tax law
expected to benefit families with income between $15,000 and $30,000 given that the family income follows a normal distribution with mean $40,000 and standard deviation $15,000 ?


Thanks
lora
 
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Re: Normal Distribution Statistics

Postby lily » Sat Apr 20, 2013 5:46 pm

Statistics, Normal Distribution - IB Mathematics HL


Let the random variable F denote the family income, so that



the probability is



Using GDC Casio fx-9860G SD
MAIN MENU > STAT>DIST(F5)>NORM(F1)>Ncd>

Setting Lower: 15,000
Upper: 30,000
: 15,000
: 40,000

We find that the probability is 0.2047

Therefore, 20.5% of the families will benefit from this new tax law.



Hope these help!!
lily
 
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Re: Normal Distribution Statistics

Postby lora » Sat Apr 20, 2013 6:26 pm

Thanks Lily!!
lora
 
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