The probability that a house in an urban area will develop a leak is 2%. If 21 houses are randomly selected, what is the probability that none of the houses will develop a leak?

The probability that none of the houses will develop a leak is 0.6543.

Step-by-step explanation:

Let X denote the number of houses in an urban area that develop a leak.

The probability that a house in an urban area will develop a leak is, p = 0.02.

A random sample of n = 21 houses are selected.

Every house is independent of developing a leak.

Thus, the random variable X follows a binomial distribution with parameters n = 21 and p = 0.02.

Compute the probability that none of the houses will develop a leak as follows:

Thus, the probability that none of the houses will develop a leak is 0.6543.

this is a very good question

step-by-step explanation:

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image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

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