The statements of a talking robot 'Rufia' are either true or false. The probability of a statement being false is 40.0% . Suppose, there are 15 random statements made by Rufia in a specific interview. a. What is the mean number of false statements given by Rufia 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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