The Body Paint, an Automobile Body Paint Shop, Has Determined

question 159

Short Answer

The Body Paint, an automobile body paint shop, has determined that the painting time of automobiles is uniformly distributed and that the required time ranges between 45 minutes to 1 hours.
a. Give a mathematical expression for the probability density function.
b. What is the probability that the painting time will be less than or equal to one hour?
c. What is the probability that the painting time will be more than 50 minutes?
d. Determine the expected painting time and its standard deviation.

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Definitions:

Sudden Infant Death Syndrome

A condition where an infant dies suddenly and unexpectedly without any obvious reason, often during sleep.

Brain Stem

The part of the brain that connects the spinal cord with the forebrain and cerebrum, controlling vital functions including breathing, heart rate, and blood pressure.

Sleep Spindles

Sudden bursts of oscillatory brain activity that occur during stage 2 of sleep, believed to function in learning, memory consolidation, and the integration of brain activity.

NREM Stage 2

A stage of sleep characterized by specific brain waves and sleep spindles that signify a deeper sleep than stage 1 and serve as a transitional period to deeper sleep stages.