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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
  • April 18, 2023 at 9:28 am #683102
    .Ali
    Participant
    • Topics: 4
    • Replies: 4
    • ☆

    The returns from a project are normally distributed with a mean of $200,000 and a standard deviation of $160,000.

    If the project loses more than $100,000 the company will be in financial difficulties.

    What is the probability of the project losing more than $100,000?

    Answer is 3%

    z=(200000-100000)/160000
    z=0.625
    In standard normal distribution table value of 0.62=0.2324
    0.5 -0.23=0.27 0r 27%

    Can you tell me where I went wrong?

    April 18, 2023 at 10:17 am #683116
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54831
    • ☆☆☆☆☆

    What you have done is calculate the probability of making a return of 100,000.

    However the question asks for the probability of losing more than 100,000. I.e. a return of minus 100,000.

    So z = (200,000 + 100,000) / 160,000 = 1.875 and not 0.625

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