Need help with the problem below.

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. a. What percentage of the math test takers from this state scored 600 or more? A. O B. 600 Density Density 266 554 842 266 654 842 O C. D. 600 1600 Density Density 266 554 842 266 554 842 The percentage that scored 600 or more is %. (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. O B. 600 600 Density 648 Density 648 O 266 554 842 266 554 842 O C. O D. 600 600 Density 648 Density 649 266 554 842 266 554 842 The percentage that scored between 600 and 648 is %. (Round to one decimal place as needed.) c. Suppose students who scored in the top 5% of test takers in the state were eligible for a special scholarship program. What score would qualify students for this scholarship program? O A. B. Density 5% Density Click to select your answer(s). ?c. Suppose students who scored in the top 5% of test takers in the state were eligible for a special scholarship program. What score would qualify students for this scholarship program? O A. O B. Density 5% Density Z 5% Z 266 554 842 266 554 842 O C. OD. Density 5% Density Z 5% 266 554 842 266 554 842 A score of would qualify them for this program. (Round to the nearest integer as needed.)