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normal distribution

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › normal distribution

  • This topic has 1 reply, 2 voices, and was last updated 2 years ago by John Moffat.
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  • Author
    Posts
  • November 15, 2022 at 4:30 pm #671516
    kashafaltaf500
    Participant
    • Topics: 29
    • Replies: 10
    • ☆

    4b.20 A normal distribution is to be split into four equal areas, two to the right of Z = 0 and two to the left
    of
    Z = 0 (Z = 0 at the mean).
    Using normal distribution tables, the |Z| value that splits the area in this way is closest to which of the
    following?
    ? 0.0987
    ? 0.1915
    ? 0.3333

    hi i dont get how to solve this the answer in the book is 0.675099 but it isnt provided in the options
    plz explain how do they get the answer

    November 16, 2022 at 9:27 am #671584
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54671
    • ☆☆☆☆☆

    Which book are you referring to?
    Given there are four equal areas, the proportion in each area must be 0.25.

    The z value that gives a result of 0.25 in the tables is between 0.67 (which gives 0.2486) and 0.68 (which gives 0.2517). The answer has apportioned between 0.67 and 0.68, but there is no need to do this in the exam. I can only assume that the fact that this was not given as one of the options is due to a typing mistake in your book.

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