The probability that a person living in a certain city owns a dog is estimated to...

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

Solutions

Expert Solution

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

orchestra answered 1 year ago

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