Question
The amounts a soft drink machine is designed to dispense for each drink are normallydistributed, with a mean of 12.2 fluid ounces and a standard
The amounts a soft drink machine is designed to dispense for each drink are normallydistributed, with a mean of 12.2 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 12 fluid ounces.
(b) Find the probability that the drink is between 11.9 and 12 fluid ounces.
(c) Find the probability that the drink is more than 12.7 fluid ounces. Can this be considered an unusualevent? Explain your reasoning.
____________________________________________________
(a) The probability that the drink is less than 12 fluid ounces is __________.
(Round to four decimal places asneeded.)
(b) The probability that the drink is between 11.9 and 12 fluid ounces is __________.
(Round to four decimal places asneeded.)
(c) The probability that the drink is more than 12.7 fluid ounces is ______.
(Round to four decimal places asneeded.)
Is a drink containing more than 12.7 fluid ounces an unusualevent? Choose the correct answer below.
A.No, because the probability that a drink contains more than 12.7 fluid ounces is lessthan 0.05, this event isnot unusual.
B.Yes, because the probability that a drink contains more than 12.7 fluid ounces is greaterthan 0.05, this event is unusual.
C.No, because the probability that a drink contains more than 12.7 fluid ounces is greaterthan 0.05, this event isnot unusual.
D.Yes, because the probability that a drink contains more than 12.7 fluid ounces is lessthan 0.05, this event is unusual.
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