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4. The number of inaccurate gauges in a group of four is a binomial random variable s. a) What is the sample space of x (i.e., what values can s take on)? b) If on average 1 of 4 gauges tends to fail, obtain the probabilities for having one and two inaccurate gauges, respectively. c) Obtain the probability for having two or less (p 21 inaccurate gauges. d) Graph the probability distribution of x. Is the distribution symmetrical or skewed? e) What is the average and standard deviation of x?

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