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The Time It Takes a Mechanic to Change the Oil

question 37

Essay

The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 5 minutes.
a.What is the probability density function for the time it takes to change the oil?
b.What is the probability that it will take a mechanic less than 6 minutes to change the oil?
c.What is the probability that it will take a mechanic between 3 and 5 minutes to change the oil?
d.What is the variance of the time it takes to change the oil?


Definitions:

Trisomy 21

A genetic disorder caused by the presence of an extra 21st chromosome, also known as Down syndrome.

Autosomal Abnormality

A genetic condition caused by a mutation in one of the autosomal (non-sex) chromosomes, affecting both males and females equally.

Edwards Syndrome

A genetic disorder caused by the presence of all or part of an extra 18th chromosome, characterized by developmental delays, intellectual disability, and various physical abnormalities.

Down Syndrome

A genetic disorder caused by the presence of all or part of a third copy of chromosome 21, characterized by developmental delays and distinctive physical features.

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