Asked by Beniah Greene on Jun 27, 2024
Verified
Consider an experiment with 25 trials where the probability of success on any trial is 0.01, and let the random variable x be the number of successes among the 25 trials.
Using the Poisson approximation to the binomial, what are:
p(0) = ______________
p(1) = ______________
p(2) = ______________
p(3) = ______________
Poisson Approximation
A method used to approximate the distribution of a number of events in a fixed interval of time or space, assuming the events occur with a known constant mean rate and independently of the time since the last event.
Trials
In probability, the term refers to the execution of an experiment or the number of times an experiment is run.
- Derive the probabilities and parameters (mean, variance) relevant to events obeying a Poisson distribution pattern.
- Utilize Poisson approximation to the binomial for rare event probabilities.
Verified Answer
CM
Learning Objectives
- Derive the probabilities and parameters (mean, variance) relevant to events obeying a Poisson distribution pattern.
- Utilize Poisson approximation to the binomial for rare event probabilities.