According to a recent reporting on a standardized test, the average math score for students in a particular state was 554. Assum the scores are Normally distributed with a standard deviation of 96. Answer parts (a) through (c) below including an appropriately labeled and shaded Normal curve for each part. ...

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I am completely stuck. Need help. I have attached the problem. Please view attachment before answering. I need help with all of part B. thank you in advance!

According to a recent reporting on a standardized test, the average math score for students in a particular state was 554. Assume
the scores are Normally distributed with a standard deviation of 96. Answer parts (a) through (c) below including an appropriately
labeled and shaded Normal curve for each part.
Density
C.
Density
4
266
Density
266
266
266
554 842
600
554
600
Z
842
648
The percentage that scored 600 or more is 31.6%.
(Round to one decimal place as needed.)
b. What percentage of the math test takers from this state scored between 600 and 648?
O A.
600
554 842
648
Z
554 842
Q
The percentage that scored between 600 and 648 is
(Round to one decimal place as needed.)
D.
%.
OB.
Density
D.
Density
266
Density
266
554
266
600
554
600
600
266 554
842
648
Z
842
554 842
648
842
선
Transcribed Image Text:According to a recent reporting on a standardized test, the average math score for students in a particular state was 554. Assume the scores are Normally distributed with a standard deviation of 96. Answer parts (a) through (c) below including an appropriately labeled and shaded Normal curve for each part. Density C. Density 4 266 Density 266 266 266 554 842 600 554 600 Z 842 648 The percentage that scored 600 or more is 31.6%. (Round to one decimal place as needed.) b. What percentage of the math test takers from this state scored between 600 and 648? O A. 600 554 842 648 Z 554 842 Q The percentage that scored between 600 and 648 is (Round to one decimal place as needed.) D. %. OB. Density D. Density 266 Density 266 554 266 600 554 600 600 266 554 842 648 Z 842 554 842 648 842 선
Expert Solution
Step 1

given data,normal distribution μ=554σ=96we have to find out the given probabilities 

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