which statement must be true?\no each distribution has the same mean and the same standard deviation.\no…

Explanation:

Step1: Understand mean and standard - deviation in normal distributions

The mean of a normal distribution is the center of the bell - shaped curve. The standard deviation determines the spread of the curve. A smaller standard deviation makes the curve taller and narrower, while a larger standard deviation makes the curve shorter and wider.

Step2: Analyze the given curves

The centers of the three normal distributions (red, green, blue) are at different points on the x - axis, so they have different means. The red curve is taller and narrower than the green curve, and the green curve is taller and narrower than the blue curve. This indicates that they have different standard deviations.

Answer:

Each distribution has a different mean and a different standard deviation.