A brand name has a 60% recognition rate. If the owner of the brand wants to verify that rate by beginning with a small sample of 5 randomly selected consumers, find the probability that exactly 3 of the 5 consumers recognize the brand name. Also find the probability that the number who recognize the brand name is not 3. The probability that exactly 3 of the 5 consumers recognize the brand name is (Round to three decimal places as needed.) The probability that the number who recognize the brand name is not 3 is (Round to three decimal places as needed.)

Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction

Of the cartons produced by a company, 10% have a puncture, 4% have a smashed corner, and 1.3% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.) %.

Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.

A group of people were asked if they had run a red light in the last year. 312 responded "yes", and 236 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year.

The probability that a child will like a new flavor of ice cream is 0.72. In a group of nine children find the probability that at least 7 children like the new flavor.