You have a giant bag of M&Ms and are wondering how many there are. You notice that there don’t seem to be nearly as many ora

Question

You have a giant bag of M&Ms and are wondering how many there are. You notice that there don’t seem to be nearly as many

orange M&Ms, so that feels doable to count. When you count the number of orange M&Ms in the giant bag you find that there are
48. If you then take a random sample and find that out of the 50 M&Ms you select, 3 of them are orange, how many M&Ms would
you estimate are in the giant bag?

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bonexptip 4 years 2021-07-26T23:43:20+00:00 1 Answers 24 views 0

Answers ( )

  1. Xavia
    0
    2021-07-26T23:44:22+00:00
    Reply

    Answer:

    800 M &Ms

    Step-by-step explanation:

    First, we can operate on the estimate that the proportion of M&Ms of the sample is equal to the proportion of M&Ms in the giant bag.

    Therefore,

    number of orange M&Ms in sample / sample size = number of orange M&Ms in bag / bag size

    3/50 = 48 / bag size

    multiply both sides by 50 to remove a denominator

    3  = 48 * 50 / bag size

    multiply both sides by bag size to remove the other denominator

    3 * bag size = 48 * 50

    divide both sides by 3 to isolate bag size

    bag size = 48 * 50 / 3

    bag size  = 800 M &Ms

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