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Normal Distribution · Question 35 of 68

Question 35

MediumOriginal question

Given P(0<Z<1)=0.3413P(0 < Z < 1) = 0.3413, what is P(Z<−1)P(Z < -1)?

Options for question 35

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. By symmetry, P(Z<−1)=P(Z>1)P(Z < -1) = P(Z > 1).

  2. =0.5−0.3413=0.1587= 0.5 - 0.3413 = 0.1587.

Worth noting

0.8413 is P(Z<1)P(Z < 1), everything to the left of +1+1.

Concept
The area for a negative z
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.