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Normal Distribution · Question 43 of 68

Question 43

MediumOriginal question

Given P(0<Z<1.25)=0.3944P(0 < Z < 1.25) = 0.3944, what is P(Z<−1.25)P(Z < -1.25)?

Options for question 43

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. By symmetry, P(Z<−1.25)=P(Z>1.25)P(Z < -1.25) = P(Z > 1.25).

  2. 0.5−0.3944=0.10560.5 - 0.3944 = 0.1056.

Worth noting

0.8944 is P(Z<1.25)P(Z < 1.25); the minus sign puts the value in the left tail.

Concept
The area for a negative z
Typical time
90 s
Your time
—
The rule this testsAreas under the curve
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