# Math – the amounts a soft drink machine is designed to dispense

The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected.a)Find the probability that the drink is less than 11.9 fluid ounces (round to four decimal places as needed). b)Find the probability that the drink is between 11.7 and 11.9 fluid ounces(round to four decimal places as needed). c)Find the probability that the drink is more than 12.6 fluid ounces(round to four decimal places as needed) d)Is the drink containing more than 12.6 fluid ounces an unusual event? A.No, because the probability that a drink containing more than 12.6 fluid ounces is greater than 0.05, this event is not unusual. B.No, because the probability that a drink containing more than 12.6 fluid ounces is less than 0.05, this event is not unusual. C.yes, because the probability that a drink containing more than 12.6 fluid ounces is greater than 0.05, this event is unusual. D.Yes, because the probability that a drink containing more than 12.6 fluid ounces is less than 0.05, this event is unusual.

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