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When the weather is good, builders on a site do an average of 9 hours of...

When the weather is good, builders on a site do an average of 9 hours of work with a standard deviation of 30 minutes. However, when the weather is bad, they do an average of 8 hours of work with a standard deviation of 40 minutes. If 90% of days are bad-weather days what is the probability that today was a good day if the builders worked for over 9.5 hours? (Assume the time worked is normally distributed.)

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