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A young woman needs a 15-ampere fuse for the electrical system in her apartment and has decided to buy either Brand A or Brand B. The length of life for Brand A is approximately normal with a mean of 1000 days and a standard deviation of 30 days. The length of life for Brand B is approximately normal with a mean of 990 days and a standard deviation of 10 days. The woman would be completely satisfied if the fuse she buys lasts longer than 980 days. One of the two brands has a higher probability of lasting longer than 980 days. Compute that probability. Answer in decimals with four places of accuracy. Do not answer in percentages.
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