For a Poisson process, we define the number of '' achieved in a specified time or space interval as a Poisson random variable.

Select all that applyAn experiment satisfies a Poisson process if:Multiple select question.the number of successes within a specified time or space interval equals any integer between zero and infinity.the probability of success in any interval is proportional to the size of the interval.the probability of success in any interval is the same for all intervals of equal size.the number of successes counted in nonoverlapping intervals are dependent.

Poisson processContd...Example 4: The reporting of customers at a counter in a railway station is a Poisson random process with mean rate of 3 customers in a minute. Find the probability that the interval of time between two consecutive customers is (i) more than a minute, (ii) between 1 and 2 minutes, (ii) at the most 3 minutes.

The number of accidents (𝐴) at an intersection is counted for a 12-hour period. The number of accidents follows a Poisson distribution with a parameter value of 2.

Define Poisson distribution. What are its applications.

Which one is not a condition of Poisson model(a) the probability of having failures in a small time interval is constant(b) the probability of having success more than one in a small time intervalis very small(c) the probability of having success in this time interval is independent oftime ‘t’ as well as earlier success(d) the probability of having success in a small time interval (t, t+td) is Kt fora positive constant k