1. Cybersecurity The table below lists leading digits of 317 inter-arrival Internet traffic times for a computer, along with the frequencies of leading digits expected with Benford’s law (from Table 11-1 in the Chapter Problem). a. Identify the notation used for observed and expected values. b. Identify the observed and expected values for the leading digit of 2. c. Use the results from part (b) to find the contribution to the x2 test statistic from the category representing the leading digit of 2. Leading Digit 1 2 3 4 5 6 7 8 9 Benford’s Law 30.1% 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% Leading Digits of Inter-Arrival Traffic Times 76 62 29 33 19 27 28 21 22

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)