The number of telephone calls coming in to a central switchboard of an office building averages 4 per minute. (a) Find the probability that no calls will arrive during a given one-minute period. (b) Find the probability that two or more calls will arrive during a given one-minute period. (c) Find the probability that two or more calls will arrive during a given three- minute period. (d) Each call costs 25 cents, plus there is an additional cost of $2 for each hour to keep the line open. Find the mean and standard deviation of the amount of money spent on telephone calls during the next hour.

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