Question: Task 5: Normal approximation for binomial births (9 marks total) In Chelmsford County, the probability that a randomly chosen birth results in a boy is

Task 5: Normal approximation for binomial births

(9 marks total)

  1. In Chelmsford County, the probability that a randomly chosen birth results in a boy is 45% at the local hospital. Over the course of a month, there are 20 births.
  2. Is a normal approximation to the binomial random distribution appropriate here? Show your calculations and explain your choice.(3 marks)
  3. Use the normal approximation to find the following probability. What is the chance that more than 14 of the births are boys?(3 marks)
  4. Use the binomial probability formula to calculate the probability that more than 14 boys are born in these 20 births.(3 marks)

Task 6: Employment in health care and social assistance comparison

(11 marks total)

  1. The following table shows the number of employees in Ontario and Quebec in the health care and social assistance fields from 2010 to 2014.
  2. Employment in health care and social assistance (thousands)20102011201220132014Ontario597.5615.1628.7634.3644.4Quebec392.3400.9410.2417.2422.6Create time-series graphs to display both sets of data.(4 marks)
  3. Which province appears to have the largest growth in this employment field? Justify your choice.(1 mark)
  4. Calculate the percentage change for each province from year to year and graph these new data.(5 marks)
  5. Do the percentage change graphs tell the same story as the graph of the population figures? Explain.(1 mark)

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