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anonymous
 5 years ago
A machine is set to pump cleanser into a process at the rate of 10 gallons per minute. Upon inspection, it is
learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the
interval 9.5 to 12.5 gallons per minute. Find the probability that between 10.0 gallons and 11.0 gallons are
pumped during a randomly selected minute.
The answer is 0.33, how do I arrive at this answer?
anonymous
 5 years ago
A machine is set to pump cleanser into a process at the rate of 10 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 9.5 to 12.5 gallons per minute. Find the probability that between 10.0 gallons and 11.0 gallons are pumped during a randomly selected minute. The answer is 0.33, how do I arrive at this answer?

This Question is Closed

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0Right so if it's a uniform distribution, that means it's equally likely to be 9.5 as 9.6 as 10 as 12.5 etc..

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so given that it's an equal probability to be any of the rates between 9.5 and 12.5, you want to know how much of that range 10.011.0 covers

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so the entire range is 3.0 gallons per minute

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and 11.010.0 = 1.0 gallons per minute of that range

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so there is a 1.0/3.0 = .33 probability that the rate is between 10.0 and 11.0

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0fun fact is  since it's a uniform distribution, there is also a .33 probability that the actual rate falls between 9.5 and 10.5, 9.6 and 10.6 etc..  basically any 1.0 gallon range covers 33% of the total distribution

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0Let me know if that makes sense.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh wow, that completely makes sense. I was dividing 3/1 and getting 3. Your explanation helped a bunch. Thank you :)
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