Peter works as an office assistant in a law office. He usually scans documents at an average rate of 120 pages per hour using the scanner in the office. (a) In a morning, assume Peter starts scanning at 9:00 AM using the same scanner. At 12:00 NOON, what is the probability that he scans more than 400 pages?
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!
* Please use the table below for
* please when you use a normal approximation for discrete random variables, please apply (half-unit) continuity correction.
Peter works as an office assistant in a law office. He usually scans documents at an average rate of 120 pages per hour using the scanner in the office.
(a) In a morning, assume Peter starts scanning at 9:00 AM using the same scanner. At 12:00 NOON, what is the probability that he scans more than 400 pages?
(b) After a lunch break, Peter returns to work at 1:00 PM and he receives a new assignment of scanning 300 pages. What is the probability that he will complete this new assignment between 3:15 PM and 3:40 PM?
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