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If the random variable X is normally distributed with mean and stand.pdf
The document explains that a normally distributed random variable x, characterized by its mean and standard deviation, can be transformed into a standard normal variable z. This transformation results in a z that has a mean of 0 and a standard deviation of 1. It confirms that z remains normally distributed through this conversion.
If the random variable X is normally distributed with mean and stand.pdf
- 1. If the randomvariable X is normally distributed with mean and standard deviation , then the random variable Z defined by is also normally distributed with mean 0 and standard deviation 1. Solution True. If X be defined as Z = (X - Mean) / Standard deviation, then Z is also normally distributed with mean = 0, Standard deviation (and variance) = 0.