describe which of the statement is true under the normal curve?

Which of the subsequent are true statements?

1) The area under a normal curve is always equal to 1, no matter what the mean and standard deviation are

2) The smaller the standard deviation of a normal curve, the higher and narrower the graph.

3) Normal curve with a different means are centred on different numbers.

1) i and ii

2) i and iii

3) ii and iii

4) i, ii, and iii

5) None of the above gives the complete set of true responses.