The probability that Gary will get exactly 3 text messages in a 2-hour portion of his work day using the Poisson distribution, what is the time interval of interest: 2 hours
Gary will get calls according to Poisson distribution with an average # of calls per hour = 15.
Let x be the Poisson random Variable Such that X ~Poisson (15).
We need to find P(x≤3) in 2 hours.
Thus, the time interval of interest is 2 hours.
Probability is the likelihood of an event occurring. It can range from an impossible event to a probability to an absolute certainty. In mathematics, probability is on a scale of 0-1. Zero means the event is impossible, like rolling seven dice with only the numbers 1-6. One is an event that will happen, that's for sure. An example of a specific event is tomorrow is Friday if today is Thursday. It will definitely happen. The median is 0.5 or half and these events are equally likely. A good example of half probability is tossing a coin. It gets straight heads or tails.
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