Glenn Howell, VP of personnel for the Standard Insurance Company, has developed a new training program that is entirely self-paced. New employees work various stages at their own pace; completion occurs when the material is learned. Howell’s program has been especially effective in speeding up the training process, as an employee’s salary during training is only 67 percent of that earned upon completion of the program. In the last several years, average completion time of the program was 44 days, and the standard deviation was 12 days. (a) Find the probability an employee will finish the program in 33 to 42 days. (b) What is the probability of finishing the program in fewer than 30 days?

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Glenn Howell, VP of personnel for the Standard Insurance Company, has developed a new training program that is entirely self-paced. New employees work various stages at their own pace; completion occurs when the material is learned. Howell’s program has been especially effective in speeding up the training process, as an employee’s salary during training is only 67 percent of that earned upon completion of the program. In the last several years, average completion time of the program was 44 days, and the standard deviation was 12 days.

(a) Find the probability an employee will finish the program in 33 to 42 days.

(b) What is the probability of finishing the program in fewer than 30 days?

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