SOLUTION: please help me with my homework i cannot do it :( 4. A random variable X follows the normal distribution, and another random variable Z follows the standard normal distribution

Algebra.Com
Question 382169: please help me with my homework i cannot do it :(
4. A random variable X follows the normal distribution, and another random variable Z follows the standard normal distribution
1) Explain the difference between the normal distribution and the standard distribution
2) Explain how the variables, X and Z are related.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A random variable X follows the normal distribution, and another random variable Z follows the standard normal distribution
1) Explain the difference between the normal distribution and the standard distribution
---
The standard normal has a mean of zero and a standard deviation of one.
A normal distribution may have any number as mean and any number as
standard deviation.
-----------------------------
2) Explain how the variables, X and Z are related.
Te data in both cases is symmetric wrt the mean and
both have a range of approximately 6 standard deviations.
---------------------------------
Cheers,
Stan H.

RELATED QUESTIONS

A random variable X follows the normal distribution, and another random variable Z... (answered by robertb)
The mean age at which men in the U.S. marry for the first time follows the normal... (answered by stanbon)
Let the random variable X follow a normal probability distribution with a mean 10 and a... (answered by stanbon)
I am having trouble with Binomial distribution can you please help me with this question? (answered by ewatrrr)
Hi can someone please show me how to do questions like the following involving the normal (answered by rothauserc)
ples please someone....I NEED HELP WITH THIS QUESTION I HAVE SUBMITTED IT SEVERAL TIMES... (answered by Theo)
Dear Sirs, I have a Q, I tried many times but it is still not right. Given that X is a... (answered by rothauserc)
Please help me solve this problem: An Airline knows that the number of suitcases it loses (answered by Theo)
Given that X is a normal random variable with a mean of 25 and standard deviation 3, find (answered by Fombitz)