In a given region, the number of tornadoes in a one-week period is modeled by a Poisson distribution with mean 2. The numbers of tornadoes in different weeks are mutually independent. Calculate the probability that fewer than four tornadoes occur in a three-week period.

0.1512 = 15.12% probability that fewer than four tornadoes occur in a three-week period.

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.

In a given region, the number of tornadoes in a one-week period is modeled by a Poisson distribution with mean 2

Three weeks, so

Calculate the probability that fewer than four tornadoes occur in a three-week period.

This is:

In which

Then

0.1512 = 15.12% probability that fewer than four tornadoes occur in a three-week period.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: