POISSON DISTRIBUTION

POISSON DISTRIBUTION Direction: Find the probability. 1. Consider the number of calls received by a call center agent to follow a Poisson distribution. On the average, a certain call center agent receives 10.5 calls in a 1-hour period. a. Find the probability mass function for the number of phone calls received by a call center agent in a 1- hour period. b. Find the probability that the call center agent will receive exactly 8 calls in a 1-hour period. c. Find the probability that the call center agent will receive exactly 15 calls in a 2 hour period. 2. The average number of houses that a certain real estate agent can sell in week is five. What is the probability that next week the agent will be able to sell exactly two houses? 3. The number of giraffe seen by tourists on a one-day safari organized by a certain travel agency is a Poisson random variable with mean =6. Find the probability that tourists will see less than two giraffes on the next one- day safari organized by the agency. Direction: Find Poisson Probability given the following information's. Show your SOLUTION. 1. Given: / = 1 and x = 8 2. Given: # = 3 and x = 7 3. Given: / = 2 and x = 9 4. Given: u = 4 and x = 4 5. Given: / = 3 and x = 1 6. Given: u = 7 and x = 9