The probability that Mugdho loses an armwrestling match against Snigdho is 30.0%. Let's say, there's no tie. Suppose they both will play 18 matches against each other. a. What is the mean number of...

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Extracted text: The probability that Mugdho loses an armwrestling match against Snigdho is 30.0%. Let's say, there's no tie. Suppose they both will play 18 matches against each other. a. What is the mean number of matches where Snigdho defeats Mugdho? Answer in exact fraction, or rounded to at least 2 decimal places. b. What is the standard deviation in the number of armwrestling matches that Mugdho loses? Answer in exact fraction, or rounded to at least 2 decimal places. c. What is the probability that the number of matches Snigdho wins is more than 1 standard deviations away from the mean value? Answer in exact fraction, or rounded to at least 4 decimal places.