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.

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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.

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

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hint: the area under the gaussian or normal curve represents the total probability, and the total probability has to be equal to 1
I think option B should read I and III think answer I and II correct I am not sure about III
Oh okay! So Would it be I II and III?
I think thats it.
i would pick D all 3 true
Okay thank you.
yes! I also think that all three options are true
different means will position the same graph left or right based on the value of the mean

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