Question

The demand for a product is Normally distributed with mean 1500 and standard deviation 150. What...

The demand for a product is Normally distributed with mean 1500 and standard deviation 150. What is the probability that demand is between 1400 and 1520, that is P(1400<X<1520)? Choose the best possible answer (just ONE answer).

0.0005

0.6994

None of the above or below

0.2525

0.3005
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The demand ( X ) for a product is Normally distributed

Mean = = 1500

Standard deviation = = 150

We have to find P( 1400 < x < 1520 )

P( 1400 < x < 1520 ) = P( x < 1520 ) - P( x < 1400 )

Using Excel function ,   =NORMDIST( x , , , 1 )

P( x < 1520 ) = NORMDIST( 1520 , 1500 , 150 , 1 ) = 0.553035

P( x < 1400 ) = NORMDIST( 1400, 1500 , 150 , 1 ) = 0.252493

So, P( 1400 < x < 1520 ) = 0.553035 - 0.252493 = 0.3005

Probability that demand is between 1400 and 1520 is 0.3005

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