40. Two normal distributions are compared. One has a mean of 10 anda standard de

Question

40.

Two normal distributions are compared. One has a mean of 10 anda standard deviation of 10. The second normal distribution has amean of 10 and a standard deviation of 2. Which of the following ittrue?

A) the locations of thedistributions are different
B) the distributions are fromtwo different families
C) the dispersions of thedistributions are different
D) the dispersions of thedistributions are the same

42.

What is an important similarity between the uniform and normalprobability distributions?

Explanation / Answer

42) b

A uniform probability distribution is one where theprobabilities of all events occurring are equal (looks like arectangle on its side), while the normal probability distributionis the standard bell curve. It is obvious, then, that a. isnot correct, because the mode is not the same as the mean andmedian in the uniform probability distribution. In fact, sinceprobability is evenly distributed in a uniform distribution, thereessentially is no mode. Neither distribution is negativelyskewed, and the 68% of the probability within one standarddeviation of the mean only applies to the normaldistribution. That leaves b. B. is the correct answerbecause in a symmetric distribution, which normal and uniformdistributions both are, have a mean RIGHT in the middle of thedistribution, which, of course, is the same place as themedian.

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