On average, a textbook author makes 0.8 word-processing error per page on the first draft of her textbook. (a) What is the probability that on the next page she will make 2 or more errors? (b) What is the probability that a randomly selected page is error free? Click here to view the table of Poisson probability sums. (a) The probability that a page has at least 2 errors is (Round to four decimal places as needed.)
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!
Let the random variable X denotes errors in the text book.
Based on the provided information, it is clear that the random variable X follows Poisson distribution with parameter .
a)
Obtain the probability that on the next page she will make 2 or more errors.
Therefore, the probability that on the next page she will make 2 or more errors is 0.1912.
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