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The mean marks of students in this test you are taking are 10 and their variance is 2. Find the number of students scoring more than 12 marks.
Assume total number of students appeared till date is 200 and the area under normal curve between z = 0 to z = √2 is as shown:
    Correct answer is '30'. Can you explain this answer?
    Most Upvoted Answer
    The mean marks of students in this test you are taking are 10 and thei...
    As we know,
    Standard Normal Curve:
    If we define, 
    Then above normal curve will be symmetrical about z=0 and in this case z is called standard normal variable for which p.d.f is,
    i.e. z ∼ N{0, 1}
    Now, we know that
    Given,
    μx = 10
    Variance = 2
    Standard Deviation (σx)= √Variance = √2
    Let N = Total number of students = 200
    x= { Marks of students} 
     
    ∴ Probability that the student scores more than 12 marks
    = P(x > 12)
    = 0.5 − P(0 < z < √2)
    = 0.5 − 0.35
    = 0.15
    ∴ The number of students who score more than 12 marks
    = 200 × 0.15 = 30
    Hence, the correct option is 30.
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    The mean marks of students in this test you are taking are 10 and their variance is 2. Find the number of students scoring more than 12 marks.Assume total number of students appeared till date is 200 and the area under normal curve between z = 0 to z = √2 is as shown:Correct answer is '30'. Can you explain this answer?
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    The mean marks of students in this test you are taking are 10 and their variance is 2. Find the number of students scoring more than 12 marks.Assume total number of students appeared till date is 200 and the area under normal curve between z = 0 to z = √2 is as shown:Correct answer is '30'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The mean marks of students in this test you are taking are 10 and their variance is 2. Find the number of students scoring more than 12 marks.Assume total number of students appeared till date is 200 and the area under normal curve between z = 0 to z = √2 is as shown:Correct answer is '30'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean marks of students in this test you are taking are 10 and their variance is 2. Find the number of students scoring more than 12 marks.Assume total number of students appeared till date is 200 and the area under normal curve between z = 0 to z = √2 is as shown:Correct answer is '30'. Can you explain this answer?.
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