1.) About what percent of the area under the curve of the standard normal distribution is outside the interval z=[-1.01,1.01] (or beyond 1.01 standard deviations of the mean).

2.) If P(-b

3.) The physical plant at the main campus of a large state university receives daily requests to replace is bell-shaped and has a mean of 59 and a standard deviation of 8. Using the empirical rule, what is the approximate percentage of lightbulb replacement request numbering between 59 and 67? (I got 95 but is says incorrect).

4.) A factory knows that the weight of bags of chips they make will vary slightly. If the mean weight of a bag of chips is 16oz with a standard deviation of 0.5oz , what is the weight of a bag of chips at the 84.8th d d percentile at the factory?

5.) The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 42 months and a standard deviation of 8 months. Using the empirical rule, what is the approximate percentage of cars that remain in service between 50 and 66 months? (I got 25.26 but says its incorrect).

6.) A set of exam scores is normally distributed and has a mean of 73.6 and a standard deviation of 9.9. You choose a random score form the data set and the probability of getting a sore less than or equal to 0.0094. what was the test score randomly chosen?