Graphs are used to visualize the set of data on a table or functions and equations
<h3>How to graph the table?</h3>The table is not given.
So, I will make use of the following table to plot the graph
x y
1 2
2 4
3 6
4 8
5 10
To plot the table on a graph, we place the x values on the x-axis, and the y values on the y-axis
See attachment for the graph of the table
Read more about graphs and tables at:
Answer:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
We want this probability:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this: