SOLUTION: Dear tutor, please help me with the question below. Q.Draw a normal distribution and identify the mean of x on the distribution. Discuss the symmetry and the total area under th

Question 1004832: Dear tutor, please help me with the question below.
Q.Draw a normal distribution and identify the mean of x on the distribution. Discuss the symmetry and the total area under the curve. What is the probability that a value of x will be greater than the mean?
- I understand how to draw and the symmetry of a normal distribution. but i am not sure about the last question. I assume the probability that a value of x will be grater than the mean is above z score 0?
Please correct me if I am wrong. Thank you.
Found 2 solutions by rothauserc, MathLover1:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The mean of the normal distribution determines the location of the center of the graph. That is, 50% of the values lie below the mean and 50% of the values lie above the mean. Therefore, the probability that a value of x will be greater than the mean is 0.50.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The Normal Distribution has:
mean = median = mode
symmetry about the center
% of values less than the mean
and % greater than the mean

The number of standard deviations from the mean is also called the "Standard Score", "sigma" or "z-score".
So to convert a value to a Standard Score ("z-score"):
first subtract the mean,
then divide by the Standard Deviation
And doing that is called "Standardizing":

RELATED QUESTIONS
CLAIMS FILED DURING YEAR FOR INSURANCE HAD MEAN OF NORMAL DISTRIBUTION =$4560.STD... (answered by stanbon)
If X has a normal distribution with mean 80 and standard deviation 12, what is the... (answered by stanbon)
Dear tutor, May you help me solve this question Find dy/dx for each of the... (answered by Alan3354)
I was struggling with this question. Please help me dear tutor . find the height and the... (answered by Fombitz)
Dear tutor, I am having a problem with standard normal distribution table. I have been (answered by Theo)
Dear tutor, please help me solve this question: Determine the dimensions of rectangle if (answered by richwmiller)
Dear tutor, I have a problem with CI section. Any help is appreciated. Thank you. Q.... (answered by rothauserc)
Dear : The tutor I cant interpret this question ,kindly help me out How many different... (answered by MathLover1)
I am getting stumped on normal distribution, can you please help me figure out the... (answered by ewatrrr)