Help on math? Thanks
1 answer:
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Answer:
(a) 13 ounces.
(b) 1.732 ounces.
(c) 0.5
(d) 0.33
Step-by-step explanation:
Given : The amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces. So, a=10 and b=16.
(a) The average amount of water dispensed by the machine = (a+b)/2 = (10+16)/2 = 13 ounces.
(b) The standard deviation of the amount of water dispensed = = √36/12 =√3 = 1.732 ounces.
(c) P (13 or more ounces will be dispensed in a given glass) = =
= 0.5
(d) P (between 12 and 14 ounces will be dispensed in a given glass) = ( here a=12 and b=14.) =
= 0.33