Only the mean, because a normal distribution has a standard deviation equal to the square root of the mean.
You calculate the z-scores and then use published tables.
No. Normal distribution is a continuous probability.
Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.
No, the normal distribution is strictly unimodal.
For a normal probability distribution to be considered a standard normal probability distribution, it must have a mean of 0 and a standard deviation of 1. This standardization allows for the use of z-scores, which represent the number of standard deviations a data point is from the mean. Any normal distribution can be transformed into a standard normal distribution through the process of standardization.
You calculate the z-scores and then use published tables.
No. Normal distribution is a continuous probability.
Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.
A bell shaped probability distribution curve is NOT necessarily a normal distribution.
When its probability distribution the standard normal distribution.
Normal distribution is the continuous probability distribution defined by the probability density function. While the binomial distribution is discrete.
No, the normal distribution is strictly unimodal.
For a normal probability distribution to be considered a standard normal probability distribution, it must have a mean of 0 and a standard deviation of 1. This standardization allows for the use of z-scores, which represent the number of standard deviations a data point is from the mean. Any normal distribution can be transformed into a standard normal distribution through the process of standardization.
The total area of any probability distribution is 1
with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.
I apologize my question should have read what are the characteristics of a standard normal probability distribution? Thank you
I think you left off some important information. Perhaps you can supply this information, to obtain assistance. To calculate the probability or the chance of occurrence between two values, we calculate: Pr{a < X < b} = F(b) - F(a) where F(x) = cumulative probability distribution. The distribution requires certain known parameters. In the case of the Normal distribution, the mean and standard deviation are parameters. In your particular case, a = 20 and b = 28.