The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with a mean of 11.7 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 11.5 fluid ounces. ​(b) Find the probability that the drink is between 11.2 and 11.5 fluid ounces. ​(c) Find the probability that the drink is more than 12 fluid ounces. Can this be considered an unusual​ event?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
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The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with a mean of 11.7 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 11.5 fluid ounces.
​(b) Find the probability that the drink is between 11.2 and 11.5
fluid ounces.
​(c) Find the probability that the drink is more than 12 fluid ounces. Can this be considered an unusual​ event?
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