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.

whatvare the choices

step-by-step explanation:

jml angle lkj & angle mj = lm