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Discrete Distribution Presented by: Piyush Tyagi Rohit  Deshmukh Sagar  Malik Sanakarshan Joshi Sayantan Banerjee
DISTRIBUTION ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Discrete Distribution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Discrete Distribution contd…. ,[object Object],[object Object],[object Object],[object Object]
 
Bernoulli Distribution: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],James Bernoulli (Jacob I)  born in Basel, Switzerland Dec. 27, 1654-Aug. 16, 1705.
Binomial distribution: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Binomial Distribution contd…. ,[object Object],[object Object],[object Object],[object Object]
Poisson Distribution Siméon Denis Poisson June 21, 1781-April 25, 1840 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Poisson Distribution Example:  Mercy Hospital Patients arrive at the  emergency room of Mercy Hospital at the average rate of 6 per hour on weekend evenings. What is the probability of 4 arrivals in 30 minutes on a weekend evening? λ =6/per hour= 3/per half-hour. Ans: 0.168
Hyper geometric Distribution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Hypergeometric Distribution Example:  Neveready Bob Neveready has removed two dead batteries from a flashlight and inadvertently mingled them with the two good batteries he intended as replacements. The four batteries look identical. Bob now randomly selects two of the four batteries.  What is the probability he selects the two good batteries?   n  = 2 = number of batteries selected(sample size)   N  = 4 = number of batteries in total(population size)   s  = 2 = number of  good  batteries in total(success in population)   x  = 2 = number of  good  batteries selected. Ans: 0.167
Thank you

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Normal Distribution Presentation

  • 1. Discrete Distribution Presented by: Piyush Tyagi Rohit Deshmukh Sagar Malik Sanakarshan Joshi Sayantan Banerjee
  • 2.
  • 3.
  • 4.
  • 5.  
  • 6.
  • 7.
  • 8.
  • 9.
  • 10. Poisson Distribution Example: Mercy Hospital Patients arrive at the emergency room of Mercy Hospital at the average rate of 6 per hour on weekend evenings. What is the probability of 4 arrivals in 30 minutes on a weekend evening? λ =6/per hour= 3/per half-hour. Ans: 0.168
  • 11.
  • 12. Hypergeometric Distribution Example: Neveready Bob Neveready has removed two dead batteries from a flashlight and inadvertently mingled them with the two good batteries he intended as replacements. The four batteries look identical. Bob now randomly selects two of the four batteries. What is the probability he selects the two good batteries? n = 2 = number of batteries selected(sample size) N = 4 = number of batteries in total(population size) s = 2 = number of good batteries in total(success in population) x = 2 = number of good batteries selected. Ans: 0.167