A Machine Is Set to Pump Cleanser into a Process

question 139

Essay

A machine is set to pump cleanser into a process at the rate of 6 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 5.5 to 6.5 gallons per minute. Find the probability that the machine pumps less than 5.75 gallons during a randomly selected minute.

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Definitions:

Childhood IQ

A measure of a child's intellectual capabilities or cognitive abilities, often assessed through standardized tests.

General Intelligence

A theoretical construct that represents a person's overall intelligence, as opposed to specific abilities or skills.

Working Memory

A cognitive system with a limited capacity that is responsible for temporarily holding information available for processing.

Reaction Time

The amount of time it takes for an individual to respond to a stimulus.