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weight of products

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The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ounces.

a. What is the probability that a randomly selected item from the production will weigh at least 4.14 ounces?

Look at attachement too!!!
I think I did this all wrong can you help me out? IF I did do it all wrong can you please correct and explain? If you can't see the greater than or equal to symbols please look at attachment.
P(x 4.14)
z = 4.14 - 4.5 / .3 = -1.2

P(x 4.14) =
Or
P (0 < z < 1.2) = 0.3849
Using the symmetric property of the z-curve, we have P(-1.5 < z < 0) = 0.3849 too.
And P(z < -1.2) = P (z > 1.2)
So
P(z < -1.5) + P(-1.5 < z < 0) + P (0 < z < 1.5) + P (z > 1.5) = 1
P(z < -1.5) + 0.3849 + 0.3849 + P(z < -1.5) =1
P(z < -1.5) = 0.1151

1 - .1151 = .8849 or 88.49%

Solution Summary

The solution finds the probability of the weight of products, which is normally distributed.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.