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Statistics show that the distribution of monthly rent for a 4-room HDB flat has a mean of $2,530 and a standard deviation of $240. (i)

Statistics show that the distribution of monthly rent for a 4-room HDB flat has a mean of $2,530 and a standard deviation of $240.

(i) Assume that the distribution of monthly rent for a 4-room HDB flat follows a normal distribution, what is the probability of renting a flat at a price cheaper than $2,000? (ii) In fact, the distribution of monthly rent for a 4-room HDB flat is positively skewed. What is the probability of finding the mean rent of a sample of 35 units of 4-room HDB flat more than $2,600?

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