In: Statistics and Probability
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
P(11th person interviewed is the 8th one to own a dog) = P(seven person out of ten owns a dog) * P(owns a dog)
= 10C7 * 0.357 * (1 - 0.35)10-7 * 0.35
= 0.0074