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A very skilled court stenographer makes one typographical
Chapter , Problem 3.44(choose chapter or problem)
A very skilled court stenographer makes one typographical error (typo) per hour on average. (a) What probability distribution is most appropriate for calculating the probability of a given number of typos this stenographer makes in an hour? (b) What are the mean and the standard deviation of the number of typos this stenographer makes? (c) Would it be considered unusual if this stenographer made 4 typos in a given hour? (d) Calculate the probability that this stenographer makes at most 2 typos in a given hour.
Questions & Answers
QUESTION:
A very skilled court stenographer makes one typographical error (typo) per hour on average. (a) What probability distribution is most appropriate for calculating the probability of a given number of typos this stenographer makes in an hour? (b) What are the mean and the standard deviation of the number of typos this stenographer makes? (c) Would it be considered unusual if this stenographer made 4 typos in a given hour? (d) Calculate the probability that this stenographer makes at most 2 typos in a given hour.
ANSWER:Q: A very skilled court stenographer makes one typographical error (typo) per hour on average. (a) What probability distribution is most appropriate for calculating the probability of a given number of typos this stenographer makes in an hour (b) What are the mean and the standard deviation of the number of typos this stenographer makes (c) Would it be considered unusual if this stenographer made 4 typos in a given hour (d) Calculate the probability that this stenographer makes at most 2 typos in a given hour. Step By Step SolutionStep 1 of 3: (a) We are asked to calculate the probability of a given number of typos a steno makes in an hour. Here the event we are interested in is the typos a steno makes, therefore a poisson distribution is appropriate. Here the rate of event (b) Mean: Standard deviation: Therefore mean is 1 and standard deviation is also 1.