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Normal Distribution · Question 33 of 68

Question 33

MediumOriginal question

For the standard normal variate, P(0<Z<2)=0.4772P(0 < Z < 2) = 0.4772. What is P(Z>2)P(Z > 2)?

Options for question 33

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. The area to the right of 0 is 0.5, and 0.4772 of it lies between 0 and 2.

  2. P(Z>2)=0.5−0.4772=0.0228P(Z > 2) = 0.5 - 0.4772 = 0.0228.

Worth noting

0.5228 takes 0.4772 away from 1, but 0.4772 is measured from 0, not from the far left.

Concept
The area in a tail
Typical time
90 s
Your time
—
The rule this testsAreas under the curve
Practise this chapter →

Ten questions from Normal Distribution, at your own pace.

Practise this chapter →

Ten questions from Normal Distribution, at your own pace.