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 6. Find the probability that less than 3 road construction projects are currently taking place in this city. a) 0.050409b) 0.089235c) 0.301168d) 0.014936

The probability that less than 3 road construction projects are currently taking place in this city is 0.06197

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given interval.

Poisson distribution with a mean of 6.

This means that

Find the probability that less than 3 road construction projects are currently taking place in this city.

This is:

So

The probability that less than 3 road construction projects are currently taking place in this city is 0.06197

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