Assertion (A): For every normal distribution, P(X > μ) = 0.5. Reason (R): The normal curve is symmetric about its mean.

Normal Distribution · Question 5 of 68

Question 5

EasyOriginal question

Assertion (A): For every normal distribution, $P(X > \mu) = 0.5$ .
Reason (R): The normal curve is symmetric about its mean.

Both A and R are true, and R is the correct explanation of A.Correct answerYour answerBoth A and R are true, but R is not the correct explanation of A.Correct answerYour answerA is true, but R is false.Correct answerYour answerA is false, but R is true.Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

R is a defining property of the normal curve. True.
Symmetry splits the total area of 1 into two equal halves at $\mu$ , so A is true because of R.

Concept: Symmetry about the mean
Typical timeTypical: 60 s
Your timeYours: —

The rule this testsThe normal curve

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Assertion (A): For every normal distribution, P(X>μ)=0.5P(X > \mu) = 0.5P(X>μ)=0.5.Reason (R): The normal curve is symmetric about its mean.

Explanation

Assertion (A): For every normal distribution, $P(X > \mu) = 0.5$ .
Reason (R): The normal curve is symmetric about its mean.