Question

The probability that a person living in a certain city owns a dog is estimated to be 0.35. Find the probability that the eleventh person randomly interviewed in that city is the eighth one to own a dog. The probability that eleventh person randomly interviewed in that city is the eighth one to own a dog is enter your response here.

Answer 1

The probability that the eleventh person randomly interviewed in the city is the eighth one to own a dog can be calculated using the binomial probability formula.

In this scenario:
- n is the total number of people interviewed (11).
- k is the number of people who own a dog before the eleventh person (7, since we want the eighth person to own a dog).
- p is the probability that a person owns a dog (0.35).

Using the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

P(X = 7) = (11 choose 7) * (0.35)^7 * (1-0.35)^(11-7)

You can calculate this probability by substituting the values into the formula.