Question: please answer the problem below and show all work. You can calculate values of any function you need with excel, or online program/calculator if necessary.

please answer the problem below and show all work. You can calculate values of any function you need with excel, or online program/calculator if necessary. Thank you!

3. Suppose a car radiator useful lifetime has Weibull distribution with 3 = 1.5 and the mean lifetime of 150,000 miles. John has just bought a used car with 180,000 miles and original radiator which is still good. What is the probability that it's going to last at least 20,000 miles more before needing replacement

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