QMS 102 Lecture Notes - Lecture 7: Probability Distribution, Random Variable, Standard Deviation

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Poisson distribution characteristics: observing a situation over a period of time. Amount of space is analyzed (length, area, volume, or weight: there will be one success or no successes (must occur randomly, the average rate of success for the time or space is given in symbol lambda; . To get around a problem that states p (x < 3) you would use p (x 2) Find the probability that there was less than 3 customers in the next 7 minutes. Implies: 15 * 7 = y * 60. Solving for y we get 15 * 7/ 60 = 1. 75. Find the probability there will be more than 40 customers in the next 2 hours. = 15 * 2 / 2 hours = 30 / 2 hours. P (x > 40) i. e. there will be more than 40 customers in the next 2 hours) P (x >40) = 1 p (x 40) Probability involving potholes 450 potholes per 200 km.

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