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StatisticsQ&A LibraryFind the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was aboutthreethree.Find the probability that the number of births in any given minute is (a) exactlyfourfour,(b) at leastfourfour,and (c) more thanfourfour.Question

Asked Feb 25, 2020

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Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities.

The mean number of births per minute in a country in a recent year was about

threethree.

Find the probability that the number of births in any given minute is (a) exactly
fourfour,

(b) at least
fourfour,

and (c) more than
fourfour.

Step 1

**The Poisson distribution:**

A discrete random variable *X *is said to have a Poisson distribution with parameter *λ* then the probability mass function (pmf) of the random variable is given by:

Step 2

**Calculation:**

Here, lamda = 3.

**a.**

The probability that the number of births in any given minutes is exactly 4 is calculated as follows

Step 3

**b.**

The probability that the number of births in any given minutes is at least 4 is calculated as follows:

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