Question
A soft drink vending machine is set to dispense an average of 200 milliliters (mL) per cup. If the amount of drink is normally distributed with a standard deviation equal to 15 mL. What proportion of glasses will hold less than 225 mL? Write your answer using 4 decimal places.
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Answer to a math question A soft drink vending machine is set to dispense an average of 200 milliliters (mL) per cup. If the amount of drink is normally distributed with a standard deviation equal to 15 mL. What proportion of glasses will hold less than 225 mL? Write your answer using 4 decimal places.
Cristian
4.7107 Answers
Calculate the z-score:
z = \frac{X - \mu}{\sigma} = \frac{225 - 200}{15} = \frac{25}{15} \approx 1.6667
Using the z-table to find the proportion of values less than 1.6667:
P(Z<1.6667)\approx0.9525
So, the proportion of glasses that will hold less than 225 mL is:
0.9525
Using the z-table to find the proportion of values less than 1.6667:
So, the proportion of glasses that will hold less than 225 mL is:
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