$\"\"$

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The car battery has an average life time of $\"\"$ months and the standard deviation of $\"\"$ months.

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The probability of battery of last seen $\"\"$ months and $\"\"$ months.

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Consider the limits of integral is $\"\"$ months and $\"\"$ months.

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The function is $\"\"$ .

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$\"\"$

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Power rule of integral : $\"\"$ .

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$\"\"$

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$\"\"$

\

$\"\"$ .

\

$\"\"$

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Graph :

\

The integral function is $\"\"$ .

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$\"\"$

\

Observe the graph,

\

The given probability function is intercept the resulting function.

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Area of the region is

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$\"\"$ .

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$\"\"$

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The value of $\"\"$ .

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Graph :

\

The integral function is $\"\"$ .

\

$\"\"$

\

Observe the graph,

\

The given probability function is intercept the resulting function.