Poisson Distribution :

  1. It has been observed that the average number of traffic accidents requiring medical assistance on the Hollywood Freeway between 7 and 8 AM on Wednesday mornings is 1. What, then, is the chance that there will be a need for exactly 2 ambulances on the Freeway, during that time slot on any given Wednesday morning? The hospital dispatcher needs to know?
  2. Solution:
  3. A soap salesman sells on the average 4 soaps per week. Use Poisson's law to calculate the probability that in a given week he will sell
  4. 1. Some of the soaps.

    2. 2or more soaps but less than 6 soaps.

    Assuming that there are 6 working days per week, what is the probability that in a given day he will sell one soaps?

  5. ) If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calculate the probability that there will not be more than one failure during a particular week.
  6. Solution:
  7. Vehicles pass through a junction on a busy road at an average rate of 300 per hour.
  8. 1. Find the probability that none passes in a given minute.

    2. What is the expected number passing in two minutes?

    3. Find the probability that this expected number actually pass through in a given two-minute period.

  9. A company makes electric motors. The probability an electric motor is defective is 0.01. What is the probability that a sample of 300 electric motors will contain exactly 5 defective motors?
  10. Solution:
  11. The average number of flats sold by Troy realty is 2 homes per day. What is the probability that exactly 3 homes will be sold tomorrow?
  12. Solution:
  13. The average number of Tigers seen on a 1-day safari is 5. What is the probability that tourists will see fewer than four lions on the next 1-day safari?
  14. Solution: