Examples of Normal Distribution
A random variable x has a normal distribution with mean 9 and a standard deviation of 3. Find the probability P(5<x<11)
2. The length of a semester approximates to a normal distribution with a mean of 266 days and a standard deviation of 16 days. What proportion of the classes will last between 240 and 270 days (Tentatively between 8 and 9 months)
The Normal Distribution will be given by;
In some instances you may not be given the value of x.
For instance, using the data in question 2, what is the length of time that marks the shortest 70% of the semester?
This implies that;
Thus the value of x will be;
Thus the time in the semester with a probability of 0.70 is 274.32
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