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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%

    © BrainMass Inc. brainmass.com December 15, 2022, 7:19 pm ad1c9bdddf
    https://brainmass.com/statistics/standard-deviation/weight-of-products-212269

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    Solution Summary

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

    $2.49

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