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Show your work please 12 pts Historical weather data for the SeaTac Airport, WA show average daily temperatures are distributed continuously and normally, with a

Show your work please

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12 pts Historical weather data for the SeaTac Airport, WA show average daily temperatures are distributed continuously and normally, with a mean of 54 degrees Fahrenheit. If the probability the average daily temperature for a randomly selected day is less than 48 degrees Fahrenheit equals 0.1151, determine: a) Z-score associated with the 11.51st percentile (4 points) b) the standard deviation (in degrees Fahrenheit) for the associated distribution. (SHOW ALL WORK for CREDIT; 8 points)

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