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Normal Distribution · Question 40 of 68

Question 40

MediumOriginal question

Given P(0<Z<0.6)=0.2257P(0 < Z < 0.6) = 0.2257 and P(0<Z<1.8)=0.4641P(0 < Z < 1.8) = 0.4641, what is P(−0.6<Z<1.8)P(-0.6 < Z < 1.8)?

Options for question 40

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The interval straddles 0: the part from −0.6-0.6 to 0 equals the part from 0 to 0.6, 0.2257.

  2. 0.2257+0.4641=0.68980.2257 + 0.4641 = 0.6898.

Worth noting

0.2384 subtracts the areas, which is for two z-values on the same side of 0.

Concept
The area between a negative and a positive 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.