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Rajan.Sareen
Rajan.Sareen, Statistical Analysis-expert
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Experience:  M. Sc. with 4 years of expereince
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The weight of items produced by a machine is normally

Customer Question

The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. What is the probability that a randomly selected item will weigh more than 12 ounces?
Submitted: 4 months ago.
Category: Statistical Analysis
Expert:  Rajan.Sareen replied 4 months ago.
Hi, Welcome to just answer. I will be answering your question. Thanks.
Expert:  Rajan.Sareen replied 4 months ago.
Here we have
Mean = 8
Sd (standard deviation) =2
Z score is given as
Z = (x-mean)/sd = (12-8)/2 = 4/2
We need to find
P (X>12)
=P (Z>2)
Expert:  Rajan.Sareen replied 4 months ago.
Using normal distribution tables
P (Z>2) = 0.0228
Expert:  Rajan.Sareen replied 4 months ago.

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Expert:  Rajan.Sareen replied 4 months ago.

Hi, You are requested to rate my answer. Thanks!