The exam scores for a group of 780 students at Maquarie Gardens High School (MGHS) are normally distributed, with a mean score of 55 and a standard deviation of 15. (a) Complete the scale on the normal distribution graph below. 013% 215% 13.54%. 34.13% 34.13%

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USE THE CORRECT PERCENTAGES TO ANSWER E,f and g this is a follow up question from b, c and d
The exam scores for a group of 780 students at Maquarie Gardens High School (MGHS) are normally
distributed, with a mean score of 55 and a standard deviation of 15.
(a) Complete the scale on the normal distribution graph below.
013%
10
215%
25
13.54%
3413% 34.13%
55
Score
70
13.59%.
2.15%
85
Reum
(b) Find the number of students who would be expected to obtain a score between 70 and 85
(c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail?
(d) What is the probability of a student obtaining a score between 60 and 90?
0-13%
Transcribed Image Text:The exam scores for a group of 780 students at Maquarie Gardens High School (MGHS) are normally distributed, with a mean score of 55 and a standard deviation of 15. (a) Complete the scale on the normal distribution graph below. 013% 10 215% 25 13.54% 3413% 34.13% 55 Score 70 13.59%. 2.15% 85 Reum (b) Find the number of students who would be expected to obtain a score between 70 and 85 (c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail? (d) What is the probability of a student obtaining a score between 60 and 90? 0-13%
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