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8 of 18 Attemp It is a striking fact that the first digits of numbers in legitimate records often follow a distribution known as Benford's law. Here it is: First digit 2 3 5 6 7 8 9 Proportion 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046 Fake records usually have fewer first digits 1, 2, and 3. What is the approximate probability, if Benford's law holds, that among 1000 randomly chosen invoices there are 575 or fewer amounts with first digit 1, 2, or 3? Give your answer to four decimal places. probability: .00434 Incorrect In a study of sleep quality and academic performance, the daily sleep duration among college students was approximately Normally distributed with mean , = 7.13 hours and standard deviation a = 1.67 hours. You plan to take an SRS of size n = 60 and compute the average total sleep time. Use the 95 part of the 68-95-99.7 rule to describe the variability of the sampling distribution of the mean. Provide each answer to three decimal places. 3.79 Lower value: hours Incorrect 10.47 Upper value: Incorrect