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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

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
**Posts:**0**Joined:**Wed Apr 10, 2013 7:36 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!!

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
**Posts:**0**Joined:**Mon Jan 28, 2013 8:04 pm

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