A small micro-loan bank has 1000 loan customers. If the total annual loan repayments made by an… 1 answer below »

1) A small micro-loan bank has 1000 loan customers. If the total annual loan repayments made by an individual is a random variable with mean $850 and standard deviation $900, approximate the probability that the average total annual repayments made across all customers is greater than $865. (1 Marks)

2) There are 10000 students participate in an exam and the exam score approximately follow a normal distribution. Given that 359 students get scores above 90 in the exam and 1151 students get lower than 60. If there are 2500 students pass the exam, find out the lowest score to pass. (2 Marks)

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