00 social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study on the current trend in the design of social robots, ' ' \"bgl'xmb'em Recall that in a random sample of social robots obtained through a web search, 28 were built with wheels. The number of wheels on each of the 28 robots is listed in the accompanying table. 3. Generate a histogram for the sample data set. Is the dis- tribution of number of wheels mound-shaped and sym- metric? . Find the mean and standard deviation for the sample data set. . Form the interval, 7 :1: 2s. . According to Chebychev's Rule, what proportion of sample observations will fall within the interval, part c? . According to the Empirical Rule, what proportion of sample observations will fall within the interval, part c? . Determine the actual proportion of sample observations that fall within the interval, part c. Even though the his- togram, part a, is not perfectly symmetric, does the Em- pirical Rule provide a good estimate of the proportion? .ROBOTS 44333642221333 34432822343342 Source: Chew, 8., ct a]. \"Do social robots walk or roll?\Do social robots walk or roll? According to the United #1 (REFERENCE) Nations, social robots now outnumber industrial robots worldwide. A social (or service) robot is designed to enter- tain, educate, and care for human users. In a paper pub- lished by the International Conference on Social Robotics (Vol. 6414, 2010), design engineers investigated the trend in the design of social robots. Using a random sample of 106 social robots obtained through a web search, the engineers found that 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. This information is portrayed in the accompanying figure. a. What type of graph is used to describe the data? b. Identify the variable measured for each of the 106 robot designs. C. Use graph to identify the social robot design that is cur- rently used the most. d. Compute class relative frequencies for the different categories shown in the graph. e. Use the results, part d, to construct a Pareto diagram for the data Robotic Limbs Categories N = 106 70 - 63 60 - 50 - 40 - Number of Robots 30 - 20 20 - 15 10 - None Both Legs Wheels ONLY ONLY Types of Robotic LimbsAnnual sumy of computer crimes. Refer to the 2010 cs: Copnputer Crime and Security Survey, Refer to the problem > Recall that the percentage of monetary losses at- tributable to malicious insider actions was recorded for 144 rms. The histogram for the data is reproduced below. 3. Based on the histogram, what (approximate) monetary loss value represents the 30th percentile? b. Based on the histogram, what (approximate) monetary loss value represents the 95th percentile? 0.4 0.35 0.3 9 23% Relative Frequency 40 60 Monetary Loss (96) Annual SUNS)! Of computer CHM. Refer to the 2010 CSI Computer Crime and Security Survey, Exercise 1.19 (p. 15). Recall that 351 organizations responded to the sur- vey on unauthorized use of computer systems. One of the survey questions asked respondents to indicate the per- centage of monetary losses attributable to malicious ac- tions by individuals within the organization (i.e., malicious insider actions). The following histogram sum- marizes the data for the I44 rms who experienced some monetary loss due to malicious insider actions. a. Which measurement class contains the highest propor- tion of respondents? b. What is the approximate proportion of the 144 organi- zations that reported a percentage monetary loss from malicious insider actions less than 20%? c. What is the approximate proportion of the 144 organi- zations that reported a percentage monetary loss from malicious insider actions greater than 60%? (1. About how many of the 144 m'ganizations reported a percentage monetary loss from malicious insider actions between 20% and 30%? 0.4 0.35 g Relative Frequency 8 40 60 Monetary Loss ( #1 (REFERENCE) answer 1. (a) Type of graph : - Bar graph (b) Variable measured - Type of robotic limbs (c) Legs only type robot is used most (d) Relative frequency = frequency / total frequency Class frequency. Relative frequency None. 15. 15/106 = 0.1415 Both. 8. 8/106 = 0.0755 Legs only 63. 63/106 =0. 5943 Wheels only. 20. 20/106 = 0.1887 (e) Pareto chart Pareto chart 70 60 50 40 30 20 10 0 Legs only Wheels only None Both