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Math Help - Normal distribution probability and Z-score

  1. #1
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    Normal distribution probability and Z-score

    Have been working to figure this one out but keep getting the wrong answer.

    The mean load of a container shipped by the Container Shipping Company is 2300 kg with the standard deviation of 140 kg. Compute the probability that the total weight of a shipment of 130 containers shipped by the Container Shipping Company is less than 297563 kg:

    Here's what I did so far: Mean total load= 2300*130= 299000
    I'm not sure what the standard deviation would be for the total load so I can't find out the Z-score to get the probability it falls within this range.
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  2. #2
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    If you are taking a random sample, then the variance of the sum is just the sum of the variances.
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