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b) Jennie and her coursemates stay within 9 km from TARUC. The distance between TARUC and the student off-campus accommodation are normally distributed with mean

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b) Jennie and her coursemates stay within 9 km from TARUC. The distance between TARUC and the student off-campus accommodation are normally distributed with mean & km and standard deviation 0.07 km. (i) Compute the probability that a student chosen at random stays more than 8.05 km from TARUC. (3 marks) (ii) Compute the probability that, in a random sample of 5 students, more than three students stay less than 8.05 km from TARUC. (3 marks) (ili) If there are 35 students in the class.compute the probability that less than 25 students stay more than 7.95 km from TARUC. Correct the up and npq values in 2 decimal places to obtain your final answer. (7 marks)

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