Answer:
If we divide both sides by 
we got:
And we can use the normal distribution table or excel to find the probabilites and we got:
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 area of a population, and for this case we know the distribution for X is given by:
Where 
and 
We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean 
is given by:
And we want to find this probability:
If we divide both sides by we got:
And we can use the normal distribution table or excel to find the probabilites and we got:
Answer:
(5,0) & (4,0)
Step-by-step explanation:
The x-intercepts are where the graph touches the x-axis. The parabola clearly touches in the x-axis at points 4 and 5.
Yes this seems about correct
Answer:
Pie Chart
Step-by-step explanation:
The variable mentioned in this case is categorical. That is, it has no numerical value, and can only be put into categories.
Some of the basic rule In statistics to represent data using charts are as follows:
• For categorical variables (nominal/ordinal) variables, use pie charts and bar charts
• For interval/ratio variables, use histograms
A pie chart is a circular chart divided into wedge-like portions and is basically used to display percentage or proportion of categories in the data The percentage represented by each category is shown by the corresponding slice/portion of the whole pie.
Answer:A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x² = −1. Because no real number satisfies this equation, i is called an imaginary number.
Step-by-step explanation:
