39. The average loan of employees is P18,200. If the debt is normally distributed with a standarddeviation of P6,150, find these probabilities: (a) that an employee owes at least P8,000; and (b)that the employee owes more than P20,000; and (c) that an employee owes between P10,000and P25,100.40. A Complete Blood Count (CBC) is a commonly performed test to determine the White BloodCell (WBC) count. WBC counts are approximately normally distributed in healthy peoplewith a mean of 7,360 WBC per microliter and a standard deviation of 1,090. (a) Whatproportion of subjects has WBC counts exceeding 9,130? (b) What proportion of subjects hasWBC counts between 7,000 and 9,000?*41. The scores on a nationwide aptitude examination are normally distributed, with μ = 78 ando= 10. (a) What is the percentile rank of a score of 88? (b) What percentage of aptitude scoresare below 60? (c) What percentage of scores falls between 65 and 92? (d) What is the score thatdivides the distribution such that 97% of the area is below it?42. If the tallest 10% and the shortest 10% of the population is considered abnormal, what is therange for normal heights of men if the height for men has an average of 5.75 feet and astandard deviation of 0.60 feet?43. Social Weather Station Survey Agency reported that children between 3 to 6 years old watchan average of 15 hours of TV per week. Assuming the variable (hours of TV watched) isnormally distributed with a standard deviation of 2.8 hours; find the chance that a child, whois 5, will watch 18 or more hours of TV this week.44. The average cholesterol content of a certain duck egg is 210 milligrams, and the standarddeviation is 16 milligrams. Assume the variable is normally distributed. If a single egg isselected at random, find the probability that the cholesterol content will be greater than 205milligrams.45. A random sample of basketball players was drawn, out of the UAAP basketball players whocame to free throw line at least 50 times in 2015 and 2016 seasons. Their free throw averageswere as follows:Player2015 (x)2016 (y)234891010.21 0.265 6 70.70 0.60 0.750.450.350.200.900.800.80 0.65 0.50 0.50 0.29 0.60 0.60 0.40 0.50 0.85Compute for the correlation r. Determine at 0.05 significance level whether the correlation isgreater than zero.46. A random sample of nine (9) cities gave the following figures for annual per capita of cigaretteconsumption and annual death rate from lung cancer.1234370 250 26024 17 18525517TCalculate the sample correlation r. At 0.01 level of significance, test whether cigaretteconsumption and lung cancer are unrelated.b. Determine the regression line.CityCigarette Consumption (x)Death Rate (y)Cana.35021678300 40033019 25 20924016 47. The following table shows the scores on a clerical aptitude test and grades in a clerical skillscourse for 11 business administration students.Aptitude Test Score (x) 71 77 67 76 60 72 95 85 91 83 71Skills Course Score (y) 73 85 74 82 70 83 92 85 97 89 79a. Sketch the data using scatter diagram.b. Determine whether the data provide sufficient evidence to indicate that clerical aptitudetest score and clerical skills course score are linearly related using 0.01 level ofsignificance.C. Find the regression line.48. The city engineer wants to establish the relationship between household size and monthlyhousehold water consumption. Given the data in the table, determine the following:Plot the data in a scatter plot and find the correlation r.Determine whether we can conclude from these data that the two variables are linearlyrelated at 0.05 level of significance.Find the regression line.a.b.C.Household size (x)Gallons of Water Used (y)C.33487655 700 500 800 600 90049. The National Economic and Development Authority (NEDA) and Department of Energy(DOE) wants to establish the relationship between price of natural gas (in P000's per unit) anddemand for electricity (in millions of megawatt-hours). Given the data in the table, find thefollowing:Natural Gas Price (x)18Electricity Demand (y) 160a. Sketch the data using scatter diagram.b. Determine whether the data provide sufficient evidence to indicate that the price ofnatural gas and demand for electricity are linearly related using 0.01 level of significance.Find the regression line.56570 4501918520 25 22175 200 170101,20030 35 28305400350

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39. The average loan of employees is P18,200. If the debt is normally distributed with a standard deviation of P6,150, find these probabilities: (a) that an employee owes at least P8,000; and (b) that the employee owes more than P20,000; and (c) that an employee owes between P10,000 and P25,100.