Normal Distribution: Basic statistics help needed

In summary, the conversation is about finding the percent of students making between 1200 and 1600 computations per month in a math class, assuming a normal distribution with an average of 1200 computations and a standard deviation of 150 computations. The solution involves using a standard normal distribution table and subtracting probabilities.
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lolphysics3
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Homework Statement



In math 334 one semester, the average student made 1200 computations per month with a standard deviation of 150 computations. Assume that the number of computations is approximated by a normal curve. Find the percent of students making between 1200 and 1600 computations a month.

Homework Equations


standard bell curve equation. I don't really know what specific ones I'm supposed to use for a problem like this.


The Attempt at a Solution


I figured that the answer would have to be the prob. of a student making less than 1200* the prob of a student making less than 1600. Which would be 1/2*prob of making less than 1600, which I can't seem to figure out.
 
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  • #3
I figured that the answer would have to be the prob. of a student making less than 1200* the prob of a student making less than 1600.
Times? Try subtracting.

If z has the normal distribution with mean [itex]\mu[/itex] and standard deviation [itex]\sigma[/itex] then [itex](z- \mu)/\sigma[/itex] has the standard normal distribution for which you probably have tables (a good one is at http://www.math.unb.ca/~knight/utility/NormTble.htm ).
 
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1. What is a normal distribution?

A normal distribution is a type of probability distribution that is commonly used in statistics to describe continuous data. It is also known as a Gaussian distribution, and it is characterized by a bell-shaped curve in which the majority of the data falls within the middle, with fewer data points towards each end.

2. How do you recognize a normal distribution?

A normal distribution can be recognized by its bell-shaped curve, where the mean, median, and mode are all equal and located at the center of the curve. The curve is also symmetrical, with the same number of data points on either side of the mean.

3. What is the importance of normal distribution in statistics?

Normal distribution is important in statistics because it allows us to make predictions and draw conclusions about a population based on a sample of data. It is also used in many statistical tests and models, such as the t-test and linear regression, as they assume that the data follows a normal distribution.

4. How is the normal distribution related to the central limit theorem?

The central limit theorem states that the sample means of large enough samples will follow a normal distribution, regardless of the underlying distribution of the population. This means that even if the population does not follow a normal distribution, the sample means will tend to follow one, making it a useful tool for statistical analysis.

5. How do you calculate probabilities using the normal distribution?

To calculate probabilities using the normal distribution, you can use a statistical table or a calculator that has the capability to calculate the area under the normal curve. You will need to know the mean and standard deviation of the distribution, as well as the specific value or range of values you are interested in calculating the probability for.

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