Purchase Solution

Normal and standard normal distribution

Not what you're looking for?

Ask Custom Question

Part A: Describe the properties of a normal distribution. Explain why there are an infinite number of normal distributions. How does a standard normal distribution differ from any from any other normal distribution, and how is it similar? Explain.

Part B: What is the transformation to standardize a normal random variable? Why do we standardize normal random variable to find normal areas? Explain.

Purchase this Solution

Solution Summary

Solution explains the properties of normal disribution and standard normal distribution. It also explains how can a normal distribution be standardized. (Both the parts to given problem are answered in MS Word in about 350 words.)

Solution Preview

Please refer attched document for complete solution. Work done with the help of equation writer may not print here.


Part A

The Normal Distribution is also referred to as the Gaussian distribution, especially in the field of physics. It is sometimes called the bell curve because of the way it looks.

The probability density function for the normal distribution is given by:

f(X)=frequency of random variable X
Population standard deviation.
Population mean
X=value of random variable.

Probabilities are obtained by getting the area under the curve inside of a particular interval.

The area under ...

Solution provided by:
  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
Recent Feedback
  • "Thank you"
  • "Really great step by step solution"
  • "I had tried another service before Brain Mass and they pale in comparison. This was perfect."
  • "Thanks Again! This is totally a great service!"
  • "Thank you so much for your help!"
Purchase this Solution

Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.