Problem

Question 1 (1 point) Which distribution's height doesn't change significantly with the parameter's value? normal uniform skewed

Solution

Step 1 :The question is asking about the distribution whose height doesn't change significantly with the parameter's value. This means we are looking for a distribution that remains relatively constant regardless of the parameters.

Step 2 :The normal distribution is a bell-shaped curve where the height and shape of the curve can change significantly depending on the mean and standard deviation parameters.

Step 3 :The skewed distribution is asymmetrical and its shape can change significantly depending on the degree of skewness.

Step 4 :The uniform distribution, on the other hand, has a constant probability and its height doesn't change significantly with the parameter's value. The parameters of a uniform distribution are the minimum and maximum values, and changing these values only stretches or shrinks the distribution along the x-axis, but does not affect the height.

Step 5 :Final Answer: \(\boxed{\text{uniform}}\)

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