STA2300 Data Analysis - Tutoring 1

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Tutoring 1

Question 4 (12 marks)
A local farmer produces high quality rockmelons to supply in the supermarket. From long time experience the farmer knows that the weights of the rockmelons are normally distributed with a mean of 2.9kg and a standard deviation of 0.45kg. Answer the following questions based on the above information:

  1. (2 marks) Identify the variable of interest and the unit of measurement of this variable.
  2. (3 marks) Based on this distribution, what percentage of the rockmelons will weigh more than 3.5kg?
  3. (4 marks) Based on this distribution, what percentage of rockmelons will weigh between 1.9kg and 3.9kg?
  4. (3 marks) Based on this distribution, what is the weight that 99% of the rockmelons will exceed?

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