The probability that a house in an urban area will be burglarized is 5%. If 20 houses are randomly selected, what is the mean of the number of houses burglarized

The mean number of houses is simply the expected number of houses selected

The mean number of houses burglarized is 1

The given parameters are:

--- number of houses

--- probability that a house is burglarized

The mean number of houses is calculated using the formula of expected value.

So, we have:

Substitute values for n and p

Hence, the mean number of houses burglarized is 1

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The mean number of houses burglarized , in an urban area, is 1.

Step-by-step explanation:

Let X = A house in an urban area will be burglarized.

The probability that a house in an urban area will be burglarized is:

P (X) = p = 0.05

The sample size of the houses selected is, n = 20.

The random variable X follows a Binomial distribution with parameters n = 20 and p = 0.05.

The probability function of a Binomial distribution is:

The expected value of a Binomial distribution is:

Compute the expected number of houses burglarized as follows:

Thus, the mean number of houses burglarized , in an urban area, is 1.

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,