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MATH 225N Week 5 Assignment; Applications of the Normal Distribution - Excel $20.88   Add to cart

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MATH 225N Week 5 Assignment; Applications of the Normal Distribution - Excel

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1. Question: Sugar canes have lengths, X, that are normally distributed with mean 365.45centimeters and standard deviation 4.9centimeters. What is the probability of the length of a randomly selected cane being between 360and 370centimeters? Round your answer to four decimal places. 2. Question: T...

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  • January 11, 2021
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MATH 225N Week 5 Assignment: Applications of
the Normal Distribution - Excel


Question
Sugar canes have lengths, X , that are normally distributed with mean 365.45
centimeters and standard deviation 4.9 centimeters. What is the probability of the length
of a randomly selected cane being between 360 and 370 centimeters?

 Round your answer to four decimal places.




The mean is μ=365.45 , and the standard deviation is σ=4.9 . As the probability
between two values is to be calculated, subtract the probability of the lower value from the
higher value. In this case, you have to use the NORMDIST function twice.

1. Open Excel and click on any empty cell. Click Insert function, fx .

2. Search for NORMDIST in the search for a function dialog box and click GO.

3. Make sure NORMDIST is on top in select a function. Then click OK.

4. In the function arguments of NORMDIST function, enter 370 for X , 365.45 for
Mean, 4.9 for Standard_dev, and TRUE for Cumulative, all for the higher value of X .
Thus, the answer, rounded to four decimal places, is 0.8234 .

5. Click on any other empty cell. Click Insert function, fx .

6. Search for NORMDIST in the search for a function dialog box and click GO.

7. Make sure NORMDIST is on top in select a function. Then click OK.

8. In the function arguments of NORMDIST function, enter 360 for X , 365.45 for
Mean, 4.9 for Standard_dev, and TRUE for Cumulative, all for the lower value of X .
Thus, the answer, rounded to four decimal places, is 0.1330 .

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