The statements of a talking robot 'Nezia' are either true or false. The probability of a statement being false is 50.0% . Suppose, there are 17 random statements made by Rufia in a specific interview.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The statements of a talking robot 'Nezia' are either true or false. The probability of a statement being false is 50.0% . Suppose, there are 17 random
statements made by Rufia in a specific interview.
a. What is the mean number of false statements given by Nezia in that interview?
Answer in exact fraction, or rounded to at least 2 decimal places.
b. What is the standard deviation in the number of false statements?
Answer in exact fraction, or rounded to at least 2 decimal places.
c. What is the probability that the number of false statements is more than 1 standard deviations away from the mean value?
Answer in exact fraction, or rounded to at least 4 decimal places.
Transcribed Image Text:The statements of a talking robot 'Nezia' are either true or false. The probability of a statement being false is 50.0% . Suppose, there are 17 random statements made by Rufia in a specific interview. a. What is the mean number of false statements given by Nezia in that interview? Answer in exact fraction, or rounded to at least 2 decimal places. b. What is the standard deviation in the number of false statements? Answer in exact fraction, or rounded to at least 2 decimal places. c. What is the probability that the number of false statements is more than 1 standard deviations away from the mean value? Answer in exact fraction, or rounded to at least 4 decimal places.
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