a) Receipts at a particular depot have amounts which follow the Normal distribution with mean of GH¢103.60 and a standard deviation of GH¢8.75.
Required:
i) Determine the percentage of receipts over GH¢ 120.05. (3 marks)
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Let X be normally distributed with mean 103.60 and standard deviation 8.75.
ii) Determine the percentage of receipts below GH¢ 92.75. (3 marks)
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iii) Determine the percentage of receipts between GH¢ 83.65 and GHS 117.60. (3 marks)
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iv) Determine the receipts amount such that approximately 25 percent of receipts are greater amounts. (3 marks)
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v) Above what amount will 90 percent of receipts lie? (3 marks)
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b) If 10.56 percent of receipts have an amount above 110.05 and 4.01 percent of receipts have an amount above 120.05.
Required:
Calculate, the mean and standard deviation of the receipts assuming that they are normally distributed. (5 marks)