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27 November, 19:57

The weights of packets of cookies produced by a certain manufacturer have a Normal distribution with a mean of 202 grams and a standard deviation of 3 grams. What is the weight that should be stamped on the packet so that only 1% of the packets are underweight?

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  1. 27 November, 21:39
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    209.005 gms

    Step-by-step explanation:

    Given that the weights of packets of cookies produced by a certain manufacturer have a Normal distribution with a mean of 202 grams and a standard deviation of 3 grams.

    Let X be the weight of packets of cookies produced by manufacturer

    X is N (202, 3) gms.

    To find the weight that should be stamped on the packet so that only 1% of the packets are underweight

    i. e. P (X
    From std normal table we find that z value = 2.335

    Corresponding x value = 202+3 (2.335)

    =209.005 gms.
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