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5000 students were appeared in an examination. The mean of marks was 39.5 with a standard deviation 12.5 marks. Assuming the distribution to be normal find the number of students recorded more than 60% marks Given: When Z = 1.64 Area of normal curve = 0.4495​?
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5000 students were appeared in an examination. The mean of marks was 3...
Solution:

Given,
Mean (μ) = 39.5
Standard deviation (σ) = 12.5

To find the number of students who scored more than 60% marks, we need to first convert the percentage into the standard normal distribution.

Let X be the random variable denoting the marks scored by the students. Then,

Z = (X - μ) / σ

We need to find the number of students who scored more than 60% marks, i.e., X > 0.6 * 5000 = 3000.

Converting this to the standard normal distribution, we get

Z = (3000 - 39.5) / 12.5 = 232.6

We need to find the area of the normal curve to the right of Z = 1.64, which is given as 0.4495.

So,

P(Z > 1.64) = 0.4495

Therefore, the number of students who scored more than 60% marks is

N = 5000 * (1 - P(Z > 1.64))
N = 5000 * (1 - 0.4495)
N = 2752.5

Rounding off to the nearest integer, we get the number of students as 2753.

Hence, the number of students who recorded more than 60% marks is 2753.
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5000 students were appeared in an examination. The mean of marks was 39.5 with a standard deviation 12.5 marks. Assuming the distribution to be normal find the number of students recorded more than 60% marks Given: When Z = 1.64 Area of normal curve = 0.4495​?
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5000 students were appeared in an examination. The mean of marks was 39.5 with a standard deviation 12.5 marks. Assuming the distribution to be normal find the number of students recorded more than 60% marks Given: When Z = 1.64 Area of normal curve = 0.4495​? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 5000 students were appeared in an examination. The mean of marks was 39.5 with a standard deviation 12.5 marks. Assuming the distribution to be normal find the number of students recorded more than 60% marks Given: When Z = 1.64 Area of normal curve = 0.4495​? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5000 students were appeared in an examination. The mean of marks was 39.5 with a standard deviation 12.5 marks. Assuming the distribution to be normal find the number of students recorded more than 60% marks Given: When Z = 1.64 Area of normal curve = 0.4495​?.
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