question archive Se technology to solve the following problem: A bottler of drinking water fills plastic bottles with a mean volume of 1,000 milliliters (mL) and standard deviation The fill volumes are normally distributed
Se technology to solve the following problem: A bottler of drinking water fills plastic bottles with a mean volume of 1,000 milliliters (mL) and standard deviation The fill volumes are normally distributed
Subject:StatisticsPrice:2.86 Bought3
Se technology to solve the following problem: A bottler of drinking water fills plastic bottles with a mean volume of 1,000 milliliters (mL) and standard deviation The fill volumes are normally distributed. What proportion of bottles have volumes greater than
options:
A: 1.0000
B: 0.9568
C: 0.3875
D: 0.6575
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C.)0.3875
Step-by-step explanation
This problem is already solved but we will explain it again.
For a normal distribution, we will use the formula:
(x-mean)/sd = z-value then use z-table to find probability
Given:
mean = 1000
sd = 7
P(X>1002) = (1002-1000)/7 = 0.28571428571 = P(Z>0.28571428571) = 0.3875
