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Only need the answer to 4) but information is required from 3): 3) An insurance company...

Only need the answer to 4) but information is required from 3):

3) An insurance company rounds 30,000 insurance premiums to the nearest dollar. The fractional parts of the premiums are continuously and uniformly distributed between 0 and 1.

4) In the preceding problem, suppose that premiums are first rounded to the nearest cent, and subsequently to the nearest dollar (with 50 cents being rounded upwards). Now what is the probability that the total amount owing will be altered by more than $50?

Answer: 0.978

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