The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with a mean

of 11.9 fluid ounces and a standard deviation of 0.2 fluid ounce. A drink is randomly selected.

​(a) Find the probability that the drink is less than 11.7 fluid ounces.

​(b) Find the probability that the drink is between 11.6 and 11.7 fluid ounces.

​(c) Find the probability that the drink is more than 12.4 fluid ounces. Can this be considered an unusual​ event? Explain your reasoning.

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