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Please help me me with questions 40-44 and please show work so I can understand, thank you! 11. 0.48 pient is a female student given

Please help me me with questions 40-44 and please show work so I can understand, thank you!

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11. 0.48 pient is a female student given that she is in the Ill. 0.35 IV. 0.625 Answer questions 40 -42 based on the following information: In a certain engineering school of a university, 60% of the students are employed and 80% of the students are full-time. Ninety percent of the employed are full-time students. 1. 0.90 40. The probability that a student selected at random is an employed full-time student is 11. 0.54 Ill. 0.48 IV. 0.20 41. The probability that a student selected at random is employed or a full-time student is: 1. 0.92 I1. 0.74 Ill. 0.54 IV. 0.86 42. What percentage of students is neither full-time student nor employed? 1. 0.09 II. 0.14 III. 0.24 IV. 0.86 Answer questions 43 and 44 based on the following information A company is launching a publicity campaign for a new product it has just introduced in the market. The marketing manager decided to use three billboards on either side of I- 15 freeway to advertise the product. These billboard locations were selected based on the probabilities the billboards would be noticed by the passing drivers. The agency that owns the billboards told the marketing manager that the probabilities the three billboards will be noticed by the drivers are 85%, 82%, and 90% respectively. Suppose that the probability that a billboard will be noticed by a passing driver is independent of whether the driver notices the other billboards. 43. The probability that someone driving on the freeway will notice all the three billboards is 1. 0.6273 11. 0.7056 Ill. 0.5032 IV. 0.3323 44. The probability that a driver will notice the first and third billboard but not the second: 1. 0.075 11. 0.155 10

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