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Normal Distribution · Question 45 of 68

Question 45

HardOriginal question

Given P(0<Z<0.5)=0.1915P(0 < Z < 0.5) = 0.1915 and P(0<Z<1.5)=0.4332P(0 < Z < 1.5) = 0.4332, what is P(0.5<Z<1.5)P(0.5 < Z < 1.5)?

Options for question 45

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Both z-values are on the right of 0, so the area between them is the larger area minus the smaller.

  2. 0.4332−0.1915=0.24170.4332 - 0.1915 = 0.2417.

Worth noting

0.6247 adds the two areas, which is for z-values on opposite sides of 0.

Concept
The area between two positive z-values
Typical time
120 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.