Two statements are given, one labelled Assertion (A) and the other labelled Reason (R).
Assertion (A): The area under the standard normal curve which lies right of Z = -0.48 is F(0.48).
Reason (R): If Z is a standard normal variable, then F(z) represents the entire area which is left of the line Z = z.
Select the correct answer from the options given below.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
Area under the standard normal curve to the right of $Z = -0.48$
$= P(Z > -0.48) = 1-P(Z<-0.48)$
$=1-F(-0.48) = 1-(1-F(0.48))$
$=1-1+F(0.48) = F(0.48)$.
∴ Assertion is true.
Also, Reason is true.
Reason is not the correct explanation of Assertion.