$\"\"$

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The probability function is $\"\"$ .

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Let $\"\"$

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$\"\"$

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$ $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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(a) Find the probability between $\"\"$ and $\"\"$ .

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In this case $\"\"$ and $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The probability between $\"\"$ and $\"\"$ is $\"\"$ .

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$\"\"$

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(b) Find the probability between $\"\"$ and $\"\"$ .

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In this case $\"\"$ and $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$ . $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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The probability between $\"\"$ and $\"\"$ is $\"\"$ .

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$\"\"$

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(a) The probability between $\"\"$ and $\"\"$ is $\"\"$ .

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(b) The probability between $\"\"$ and $\"\"$ is $\"\"$ .