During summer weekdays, boats arrive at the inlet drawbridge according to Poisson distribution at a rate of 3 per hour. In a 2-hour period, what is the probability that no boats arrive

The probability that no boats arrive will be .

Given, boats arrive at the inlet drawbridge according to Poisson distribution at a rate of 3 per hour.

Now, we know that from poisson distribution,

Here, rate

Now putting the above values in poissons equation we have,

Hence the probability that no boats arrive will be .

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The probability that no boats arrive is .

Step-by-step explanation:

Poisson distribution:

Poisson distribution is a statistical distribution that helps to find out the probability of a certain is likely occur a specified period of time.

= rate.

Given that, Poisson distribution at a rate of 3 per hour.

= 3

t=2

x=0

The probability that no boats arrive is

one that is bigger than 3 1/2