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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 spits the area in this way is closest to which of the following and explain why?i). 0.0987
ii). 0.1915
iii). 0.3333
iv). 0.675099Why are you attempting a question for which you do not have an answer? You should be using a Revision Kit from one of the ACCA Approved Publishers. It has answers and explanations.
If it is split into 4 equal areas then the probability of being between the mean and each of the limits either side of the mean must be 0.25 (i.e. 1/4).
So use the normal distribution tables provided to look up what z value gives a probability of 0.25.
You will find that it is between 0.67 and 0.68, and so the answer must be (iv).The reason is explained in my free lectures on this (although obviously in the exam you cannot be asked to explain the reason).
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