The number of calls received by a switchboard operator between 9 and 10 a.m.has a Poison distribution with a mean 12.Find the probability that the operator received at least five calls during the periods:​

Sagot :

Answer:

1.The Poisson probability distribution gives the probability of a number of events occurring in a fixed interval of time or space if these events happen with a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on the average, there are five words spelled incorrectly in 100 pages. The interval is the 100 pages.

2.The Poisson distribution may be used to approximate the binomial if the probability of success is "small" (such as 0.01) and the number of trials is "large" (such as 1,000). You will verify the relationship in the homework exercises.  n  is the number of trials, and  p  is the probability of a "success.

andom variable  X=  the number of occurrences in the interval of interest.

Step-by-step explanation: