Given in the question:
a.) Mean = 23.2 Gallons
b.) Standard Deviation = 2.7 Gallons
p (more than 25 gallons of bottled water) = ?
We will be using the z - score formula:
[tex]z\text{ = }\frac{(x\text{ -}\bar{\text{ x}})}{\sigma}[/tex]We get,
[tex]z\text{ = }\frac{(x\text{ -}\bar{\text{ x}})}{\sigma}[/tex][tex]z\text{ = }\frac{(25\text{ - }23.2)}{2.7}\text{ = }\frac{1.8}{2.7}[/tex][tex]\text{ z = 0.67}[/tex]Applying the table,
At z = 0.67, the Probability = 0.2486.
Therefore, Probabilty = 0.2486.
