11.6 Conditional Probability 719 49. of no sale, given that the passive approach was used. 4 15 50. of a sale, given that the aggressive approach was used. 2 7 51. of a sale, given that the passive approach was used. 11 15 52. of no sale, given that the aggressive approach was used. 5 7 Car Sales In Exercises 53–58, use the following table, which shows the number of Chevrolet Malibus and Chevrolet Impalas sold at Kieler Garage during August 2023. The number of coupes and sedans is also shown. Style Malibu Impala Total Coupe 34 21 55 Sedan 72 59 131 Total 106 80 186 If one of these vehicles is randomly selected, determine the probability that the vehicle is 53. a Malibu, given that the vehicle selected is a coupe. 34 55 54. a coupe, given that the vehicle selected is a Malibu. 17 53 55. a sedan, given that the vehicle selected is an Impala. 59 80 56. an Impala, given that the vehicle selected is a sedan. 59 131 57. a Malibu, given that the vehicle selected is a sedan. 72 131 58. a coupe, given that the vehicle selected is an Impala. 21 80 Quality Control In Exercises 59– 64, Orpa, a quality control inspector, is checking a sample of lightbulbs for defects. The following table summarizes her findings. Wattage Good Defective Total 20 80 15 95 50 100 5 105 100 120 10 130 Total 300 30 330 If one of these lightbulbs is randomly selected, determine the probability that the lightbulb is 59. good. 10 11 60. good, given that it is 50 watts. 20 21 61. defective, given that it is 20 watts. 3 19 62. good, given that it is 100 watts. 12 13 63. good, given that it is 50 or 100 watts. 44 47 64. defective, given that it is not 50 watts. 1 9 Smartphone Ownership In Exercises 65–70, the employees of Macomb Community College were surveyed to determine the brand of smartphone they owned. The results are shown in the table below. Apple Samsung LG Other Total Staff 127 74 16 25 242 Faculty 281 68 26 20 395 Total 408 142 42 45 637 If an employee is randomly selected, determine the probability (as a decimal number rounded to four decimal places) that the employee 65. owns an Apple smartphone, given the employee is a staff member. 0.5248 66. is a staff member, given the employee owns an Apple smartphone. 0.3113 67. is a faculty member, given the employee owns an LG smartphone. 0.6190 68. owns an LG smartphone, given the employee is a faculty member. 0.0658 69. owns a Samsung smartphone, given the employee is a faculty member. 0.1722 70. is a staff member, given the employee owns a Samsung smartphone. 0.5211 Challenge Problems/Group Activities Mutual Fund Holdings In Exercises 71–74, use the following information. Mutual funds often hold many stocks. Each stock may be classified as a value stock, a growth stock, or a blend of the two. The stock may also be categorized by how large the company is. It may be classified as a large company stock, medium company stock, or small company stock. A selected mutual fund contains 200 stocks as illustrated in the following chart. If one stock is randomly selected from the mutual fund, determine the probability that it is 71. a large company stock. 93 200 72. a value stock. 73 200 Value Blend Growth Large Medium Small Equity Investment Style 28 19 26 23 15 12 42 18 17
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