The scores in a Math Contest follow the Gaussian Distribution. Arvind scores 75 out of 100....
The scores in a Math Contest follow the Gaussian Distribution. Arvind scores 75 out of 100. The average score for the test is 60. The Standard deviation is 15. The top 10 percent of the Contest are eligible for Scholarship. What is the Least score needed to qualify? Will Arvind qualify? What percentage of students scored lower than Arvind?
Homework Answers
Given information
Here we need z-score that has 0.10 area to its right. The z-score 1.28 has 0.10 area to its right. The required qualified score is
Hence, the least score needed to qualify is 79.2.
Since Arvind score is less than 79.2 so he will not qualify.
-----------------------------
The z-score for X = 75 is
The percentage of students scored lower than Arvind is
P(x < 75) = P(z <1) = 0.8413
Answer: 84.13%
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The scores in a Math Contest follow the Gaussian Distribution.
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