Question

22. According to ghost hunters, large cities have, on average, 9 haunted houses each. As far as we know, it is unpredictable which houses will be haunted; and just because one house is haunted, that does not mean any of its neighbors will or will not be haunted. a) What is the standard deviation of the number of haunted houses in a large city

Answer 1

Answer:

The standard deviation of the number of haunted houses in a large city is 3.

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:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval, which is the same as the variance.

According to ghost hunters, large cities have, on average, 9 haunted houses each.

This means that $\mu = 9$

a) What is the standard deviation of the number of haunted houses in a large city?

Square root of the variance, so:

$\sqrt{9} = 3$

The standard deviation of the number of haunted houses in a large city is 3.