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There are 75 students in a class and their average marks  is 50 and standard Derivation of Marks is 5. Number of students who have secures more than 60 marks (given that area under the normal curve for z = z is 0.4772 is  __________

  • a)
    1

  • b)
    2

  • c)
    3

  • d)
    4

Correct answer is option 'B'. Can you explain this answer?
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There are 75 students in a class and their average marks is 50 and sta...
Given information:
- Number of students in the class = 75
- Average marks of the students = 50
- Standard deviation of marks = 5
- Area under the normal curve for z = z is 0.4772

Finding the number of students who scored more than 60 marks:
To find the number of students who scored more than 60 marks, we need to calculate the z-score for 60 marks and then find the area under the normal curve for z-score greater than that.

z-score formula:
z = (x - μ) / σ
where x is the score, μ is the mean, and σ is the standard deviation.

z-score for 60 marks:
z = (60 - 50) / 5
z = 2

Area under the normal curve for z = 2:
Using the standard normal distribution table, the area under the normal curve for z = 2 is 0.4772.

Number of students who scored more than 60 marks:
The area under the normal curve for z-score greater than 2 is 0.5 - 0.4772 = 0.0228. This means that 0.0228 of the students scored more than 60 marks.

Number of students who scored more than 60 marks = 0.0228 * 75
Number of students who scored more than 60 marks = 1.71

Rounding off to the nearest integer, the number of students who scored more than 60 marks is 2.

Answer: The number of students who have secured more than 60 marks is 2.
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There are 75 students in a class and their average marks is 50 and standard Derivation of Marks is 5. Number of students who have secures more than 60 marks (given that area under the normal curve for z = z is 0.4772 is __________a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?
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