In a certain communications system, there is an average of 1 transmission error per 10 seconds. Let the distribution of transmission errors be Poisson. A small dish containing four drops of water from the lake is placed under a microscope. Refer to the previous question. It is used to compute the probability of rare events.
Every event is independent of every other event.
It is parameterized by the sample size and the probability that an event will occur. In order to compute the parameter value, we need to know the standardized rate and the sample size. In a biological cell the average member of genes that will change into mutant genes, when treated radioactively, is 2.4. Assuming Poisson probability distribution find the probability that there are at most 3 mutant genes in a biological cell after the radioactive treatment. The number of telephone calls that pass through a switchboard has a Poisson distribution with mean equal to 2 per minute.