Question
What do you understand by normal probability distribution? Briefly describe the concept with suitable example.
Answer :
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The Normal Probability Distribution is very common in the field of statistics.
Whenever you measure things like people's height, weight, salary, opinions or votes, the graph of the results is very often a normal curve.
The Normal Distribution
A random variable X whose distribution has the shape of a normal curve is called a normal random variable.
This random variable X is said to be normally distributed with mean μ and standard deviation σ if its probability distribution is given by
Properties of a Normal Distribution
- The normal curve is symmetrical about the mean μ;
- The mean is at the middle and divides the area into halves;
- The total area under the curve is
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