You know that a normal distribution is symmetric. Now another question you want to answer that what will be the probability to be travelling more than 50 mins?Īctually you are interested in the yellow surface given in above diagram. What will be your range of travel time for 95 % of your week days?Īs you know 95 % will come within 2 standard deviation of your mean. If distribution is bell shape then it is assumed that about 68% of the elements have a z-score between -1 and 1 about 95% have a z-score between -2 and 2 and about 99% have a z-score between -3 and 3.Īssume the time you spend in week days by traveling has given by a normal distribution with mean= 40 mins and SD= 10 mins. Bell Shaped Distribution and Empirical Rule: So, P should be subtracted from 1 to get desired result. Because corresponding to 7 in X axis we marked the probability is P and we are interested in more than 7 hours. Probability to wait more than 7 hours will be calculated using complementary rule 1- P. Same thing you can get form below cumulative probability curve. On basis of this graph you can estimate the area. If one Uber taxi driver want to know the probability to wait more than 7 hours in a day? Then he will be interested in the yellow surface arear shown above. In the X axis, daily waiting time and Y-axis probability per hour has been shown. of the daily waiting time by the taxi driver of Uber taxi company. specified the probability per unit of the random variable. Normal Distribution Probability Calculation: Exactly half of the values are to the left of center and exactly half the values are to the right.The curve is symmetric at the center (i.e.The mean, mode and median are all equal.In short hand notation of normal distribution has given below.Ĭumulative normal probability distribution will look like the below diagram. Is mean or expectation of the distribution The probability density of the normal distribution is: The normal distribution is sometimes informally called the bell curve. In probability theory, the normal distribution or Gaussian distribution is a very common continuous probability distribution. Normal Distribution or Gaussian Distribution or Bell Curve:
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