Glen Howell, VP of personnel for the Standard Insurance Company, has developed a new training programs that is entirely self-placed. 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 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. Find the probability an employee will finish the program in 33 to 42 days. What is the probability of finishing the program in fewer than 30 days? Fewer than 25 or more than 60 days?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Glen Howell, VP of personnel for the Standard Insurance Company, has developed a new training programs that is entirely self-placed. 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 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.
- Find the
probability an employee will finish the program in 33 to 42 days. - What is the probability of finishing the program in fewer than 30 days?
- Fewer than 25 or more than 60 days?
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