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A math test consists of 10 multiple choice questions, each with three possible answers (a,b,c), only one of which is correct. Assume that a student takes the test and randomly answers the questions. Explain why this situation describes a binomial experiment. Be specific.

A math test consists of 10 multiple choice questions, each with three possible answers (a,b,c), only one of which is correct. Assume that a student takes the test and randomly answers the questions. What is the probability that the student will get all the questions wrong? Round your answer to three decimal places.

A math test consists of 10 multiple choice questions, each with three possible answers (a,b,c), only one of which is correct. Assume that a student takes the test and randomly answers the questions. What is the probability that the student will get at least one question correct? Round your answer to three decimal places.

A math test consists of 10 multiple choice questions, each with three possible answers (a,b,c), only one of which is correct. Assume that a student takes the test and randomly answers the questions. Would it be unlikely for a student to get no questions correct? Explain.

Individual M&M plain candies have weights that are normally distributed with a mean weight of 0.8565 g and a standard deviation of 0.0518 g. If you randomly select 1 M&M plain candy, what is the probability that the candy will weight less than .88 g? Round your answer to three decimal places.

Individual M&M plain candies have weights that are normally distributed with a mean weight of 0.8565 g and a standard deviation of 0.0518 g. If you randomly select 9 M&M plain candies, what is the probability that their mean weight will be less than 0.88g? Round your answer to three decimal places.

A math test consists of 10 multiple choice questions, each with three possible answers (a,b,c), only one of which is correct. Assume that a student takes the test and randomly answers the questions. What is the probability that the student gets exactly five questions correct? round your answer to three decimal places.