A random variable is normally distributed with a mean of 40 and a standard deviation of 10. If an observation is randomly selected from the distribution, a. Find the value of x such that it is exceeded by no more than 25% of the distribution values. b. Find the value of x such that it is exceeded by 85% of the distribution values. c. Determine two values of x for which the smaller has 5% of its distribution values below it and the larger has 5% of its distribution values above it.

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APPLICATION: Evaluate composite functions. B. If f(x)=x2-5x 1. (fog)x 2. (gof)x and g(x)=4x+3, find 3. (gofof)x

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The distribution of durations for which apartments remain empty after the resident moves out for one property management company over the past 10 years was approximately normal with mean u = 85 days and standard deviation o 29 days. The property management company tags the files of the apartments that were empty for the shortest 5% of durations to have priority cleaning the next time their residents move out. What is the maximum duration for which an apartment remained empty for the company to tag its file? Round to the nearest whole number.