# weight of products

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%

Â© BrainMass Inc. brainmass.com December 15, 2022, 7:19 pm ad1c9bdddfhttps://brainmass.com/statistics/standard-deviation/weight-of-products-212269

#### Solution Summary

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