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Normal Distribution · Question 56 of 68

Question 56

MediumOriginal question

Marks in a test are normal with mean 55 and standard deviation 10. What percentage of students score more than 75? (Take P(0<Z<2)=0.4772P(0 < Z < 2) = 0.4772.)

Options for question 56

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. z=75−5510=2z = \frac{75 - 55}{10} = 2.

  2. P(Z>2)=0.5−0.4772=0.0228P(Z > 2) = 0.5 - 0.4772 = 0.0228, that is 2.28%.

Worth noting

47.72% is the share between 55 and 75.

Concept
The share above a value
Typical time
90 s
Your time
—
The rule this testsUsing the normal distribution
Practise this chapter →

Ten questions from Normal Distribution, at your own pace.

Practise this chapter →

Ten questions from Normal Distribution, at your own pace.