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Normal distribution

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › Normal distribution

  • This topic has 2 replies, 2 voices, and was last updated 4 years ago by John Moffat.
Viewing 3 posts - 1 through 3 (of 3 total)
  • Author
    Posts
  • June 4, 2021 at 8:35 am #623070
    iza1
    Participant
    • Topics: 115
    • Replies: 112
    • ☆☆☆

    Hi John

    Can you please help me with this question
    The heights of adult females are normally distributed with a mean of 163 cm and a standard deviation
    of 1.5 cm.
    Ms X falls within one standard deviation of the mean. What range of heights does she fall
    within?

    Answer is 161.5 – 164.5 cms

    My working

    1 SD = 0.3413

    50 – 34.13 = 15.87%

    z score of 15.87 % = 0.1554 & 0.1591
    Average = 0.400 + 0.401 / 2 = 0.4005

    i’m stuck here. Can you kindly help

    June 4, 2021 at 9:20 am #623074
    iza1
    Participant
    • Topics: 115
    • Replies: 112
    • ☆☆☆

    Please can you help with this too :

    Based upon evidence from a number of years, PCM’s sales revenue is believed to be normally
    distributed with a mean of $50,000 and a standard deviation of $8,000. The following
    calculations have been used to illustrate what these signify:
    I $50,000 + (1.65 × $8,000) = $63,200
    II $50,000 – (1.65 × $8,000) = $36,800

    Answer

    The probability that sales revenue will be in the range $36,800 to $63,200 is 90%.

    The book doesn’t explain this and i tried calculating coefficient of variation but I dont think that is the way

    June 4, 2021 at 1:35 pm #623126
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54757
    • ☆☆☆☆☆

    The normal distribution is not examinable in Paper PM.

  • Author
    Posts
Viewing 3 posts - 1 through 3 (of 3 total)
  • The topic ‘Normal distribution’ is closed to new replies.

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