Help! Medal and Fan! :D

Which of the following statements are true?

I. The area under a normal curve is always equal to 1, no matter what the mean and standard deviation are.
II. The smaller the standard deviation of a normal curve is, the higher and narrower the graph.
III. Normal curves with different means are centered around different numbers.

Question

Help! Medal and Fan! :D

Which of the following statements are true?

I. The area under a normal curve is always equal to 1, no matter what the mean and standard deviation are.
II. The smaller the standard deviation of a normal curve is, the higher and narrower the graph.
III. Normal curves with different means are centered around different numbers.

anonymous · Answer

@ganeshie8 @dan815 @pooja195 @Hero Please Help.

anonymous · Answer

@Michele_Laino @triciaal @Kainui @KyanTheDoodle

anonymous · Answer

Answer Choices:


 A) I and II
 B) I and II
C)  II and III
D) I, II, and III
 E) None of the above.

michele_laino · Answer

hint:
the area under the gaussian or normal curve represents the total probability, and the total probability has to be equal to 1

triciaal · Answer

I  think option B should read I and III 

think answer I and II  correct    I am not sure about III

anonymous · Answer

Oh okay! So Would it be I II and III?

anonymous · Answer

I think thats it.

triciaal · Answer

i would pick D  all 3 true

anonymous · Answer

Okay thank you.

michele_laino · Answer

yes! I also think that all three options are true

triciaal · Answer

different means will position the same graph left or right based on the value of the mean