The number of road construction projects that take place at any one time in a certain city follows a Poisson distribution with a mean of 3. Find the probability that exactly four road construction projects are currently taking place in this city.

Using the Poisson distribution, it is found that there is a 0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.

We have only the mean for the discrete distribution, hence, the Poisson distribution is used.

The parameters are:

In this problem, the mean is of 3, hence .

The probability that exactly four road construction projects are currently taking place in this city is P(X = 4), hence:

0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.

You can learn more about the Poisson distribution at link

The probability that exactly four road construction projects are currently taking place in this city is 0.168.

Step-by-step explanation:

Let X denote the number of road construction projects that take place at any one time in a certain city.

It is provided that X follows a Poisson distribution with parameter λ = 3.

Then the probability mass function of X is:

Compute the probability that exactly four road construction projects are currently taking place in this city as follows:

Thus, the probability that exactly four road construction projects are currently taking place in this city is 0.168.

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .