In analyzing hits by certain bombs in a war, an area was partitioned into 556 regions, each with an area of 0.45 km2. a total of 545 bombs hit the combined area of 556 regions. assume that we want to find the probability that a randomly selected region had exactly two hits. in applying the poisson probability distribution formula, p(x)=μ^x * e^-μ/ x! , identify the values of μ, x, and e. also, briefly describe what each of those symbols represents.

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given interval.

There is a 18.03% probability that a randomly selected region had exactly two hits.

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 this problem we have that:

A total of 545 bombs hit the combined area of 556 regions. So the mean hits per region is:

Assume that we want to find the probability that a randomly selected region had exactly two hits.

This is P(X = 2).

There is a 18.03% probability that a randomly selected region had exactly two hits.

it costs $20 to interview each person for a survey. find the cost to obtain a +- 3% margin of error.

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