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9. In a recent MDM4U class of 20 students, fteen percent of the students wore glasses. Eight students were randomly selected from this class. Create
9. In a recent MDM4U class of 20 students, fteen percent of the students wore glasses. Eight students were randomly selected from this class. Create a probability distribution in which the discrete random variable X represents the number of students who wear glasses out of the eight selected students. Just write the mathematical expression for each probability. DO NOT EVALUATE. (4 marks) Part D: Application (9 marks) 14. Eight-four percent of adult carpenter ants weigh less than 256 mg. A random sample of 117 ants was obtained by researchers. a) Determine the probability that 96 or 97 of the ants in the sample weigh less than 256 mg (3 marks) b) Determine the expected value for the number of ants in the sample that weigh 256 mg or more (2 marks) c) Determine the probability that more than 100 ants in the sample weigh less than 256 mg. Use the normal approximation method (4 marks)
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