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It is true. Because the normal distribution is above the horizontal axis for all values, the area under it is a positive quantity no matter the z value.

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โˆ™ 2011-02-10 22:53:37
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Q: Is it true or false that The area under a normal distribution curve is always positive even if the z value is negative?
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Related questions

Is the a normal distribution curve negative or positive?

Neither. It is symmetrical.

Is the area under the standard normal distribution to the left of z equals 0 negative?

The Z value is negative, but area is always positive.

If the mean of a normal distribution is negative what is the varience?

The variance is always positive. The variance is not directly related to the sign (nor magnitude) of the mean.

What does a negative kurtosis mean?

It means distribution is flater then [than] a normal distribution and if kurtosis is positive[,] then it means that distribution is sharper then [than] a normal distribution. Normal (bell shape) distribution has zero kurtosis.

In which cases normal distribution is continuos and is not continuous?

The normal distribution is always continuous.

How do you determine if the critical z value of a standard normal distribution is positive or negative?

Use the context: if the variable should be greater than the mean then z is positive and if less than the mean, it should be negative.

Is the standard normal distribution is continuous?

Yes, the normal distribution, standard or not is always continuous.

Is a theoretical normal distribution ever negative?


What is the different between standard normal distribution and normal distribution?

A normal distribution can have any value for its mean and any positive value for its variance. A standard normal distribution has mean 0 and variance 1.

Can the variance of a normally distributed random variable be negative?

No. The variance of any distribution is the sum of the squares of the deviation from the mean. Since the square of the deviation is essentially the square of the absolute value of the deviation, that means the variance is always positive, be the distribution normal, poisson, or other.

What is the answer to negative fifteen divided by positive three?

Negative 5. It's normal division, except you need to remember these rules: Positive & Negative = Negative Positive & Positive = Positive

What properties distinguishes standard normal distribution from other normal distribution?

The normal distribution can have any real number as mean and any positive number as variance. The mean of the standard normal distribution is 0 and its variance is 1.

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