Question

The probability that a house in an urban area will develop a leak in 25 years is 10​%. If 20 houses are randomly​ selected, what is the probability that not less than 7 of the houses will develop a​ leak?

Answer 1

To find the probability that not less than 7 of the houses will develop a leak in an urban area, we can use the binomial probability formula. The probability that at least 7 houses will develop a leak is approximately 0.1263, or 12.63%

Step-by-step explanation:

To find the probability that not less than 7 of the houses will develop a leak, we can use the binomial probability formula. The probability of success (a house developing a leak) is 0.10, the number of trials (selected houses) is 20, and we want to find the probability of getting at least 7 successes.

We can calculate this probability by summing the individual probabilities of getting 7, 8, 9, ..., 20 successes.

The probability that at least 7 houses will develop a leak is approximately 0.1263, or 12.63%