Find out the shortest range


A contractor has concluded from his experience which the cost of building luxury home is basically distributed random variable with the mean of $500,000 and standard deviation of $50,000.

a) The probability is 0.2 that the cost of building will be less than what amount?

b) Find out the shortest range such that the probability is 0.95 that the cost of luxury home will fall in.

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Basic Statistics: Find out the shortest range
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