albiguguiismx
2022-09-13
Answered

Which of the following is not true regarding the normal probability distribution? (asymptotic, family of distributions, only two outcomes, 50 percent of the observations greater than the mean)

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ignaciopastorp6

Answered 2022-09-14
Author has **14** answers

An asymptotic distribution is a probability distribution that is the limiting distribution of a sequence of distributions. Since normal distributions are the limiting distribution for many other distributions and thus normal distributions are asymptotic.

Normal distributions are considered to be a family of distributions, because you obtain a different normal distribution when you have a different mean and/or a different standard deviation.

A normal distribution is also symmetric about its mean and thus 50% of the observations in a normal distribution are greater than the mean.

The property that does not hold for a normal probability distribution is then "only two outcomes," which is true as a normal probability distribution has infinitely many possible outcomes.

Result:

Only two outcomes.

Normal distributions are considered to be a family of distributions, because you obtain a different normal distribution when you have a different mean and/or a different standard deviation.

A normal distribution is also symmetric about its mean and thus 50% of the observations in a normal distribution are greater than the mean.

The property that does not hold for a normal probability distribution is then "only two outcomes," which is true as a normal probability distribution has infinitely many possible outcomes.

Result:

Only two outcomes.

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The distribution of residuals is roughly Normal with a mean of $0 and standard deviation of $22.92.

The middle 95% of residuals should be between which two values? Use this information to give an interval of plausible values for the weekly sales revenue if 5 linear feet are allocated to the stores

The distribution of residuals is roughly Normal with a mean of $0 and standard deviation of $22.92.

The middle 95% of residuals should be between which two values? Use this information to give an interval of plausible values for the weekly sales revenue if 5 linear feet are allocated to the stores

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A)95%, 45 and 55

B)95%, 40 and 60

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E)99%, 40 and 60

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B)95%, 40 and 60

C)68%, 40 and 60

D)95%, 35 and 65

E)99%, 40 and 60

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