statistics

e. Compute the meal, vandrico, 20. The marketing department of the Kellogg Company plans to conduct a national survey to find whether consumers of flake cereals can distinguish one of their favorite flake cereals from other flake cereals. To test the questionnaire and procedure to be used, eight persons were asked to cooperate in an experiment. Five very small bowls of fake cereals were placed in front of a person. The bowls were labeled A. B. C. D. and E. The person was informed that only one bowl contained his or her favorite flake cereal. a. Suppose a person could not identity his or her favorite cereal and just guessed that it was in bowl C. What is the probability that the person guessed correctly? b. What is the random variable in this problem? c. Is the random variable discrete or continuous? Why? d. Suppose that all eight persons in the experiment were unable to identity their favorite cereal and just guessed which bowl it was in. What is the probability that none of the eight guessed correctly? e. Develop a binomial probability distribution for this experiment. f. Compute the mean, variance, and standard deviation of the distribution. g. Portray the binomial probability distribution in the form of a chart. h. Suppose seven of the eight persons identified the cereal they liked best. Is it reasonable to assume that they were just guessing? Explain. What would you conclude? i. Why is the binomial probability distribution appropriate for this