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3 marksProbability, Probability Distributions and Regression

CAPE Integrated Mathematics · 2017 · Paper 2 · Question 4(e)(i)

Using the regression equation \hat{y} = 0.186 + 0.64x, where \hat{y} is weight loss in kilograms and x is number of weeks of exercise, determine the weight loss during the 24th week if no changes were made to the exercises.

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  1. 4(a)A survey of 200 people shopping Sunday to Thursday is shown in the pie chart. If E = 2A and B = 3A, determine the number of persons who shop on Thursday.[5 marks]
  2. 4(b)(i)Estimate the median weight before and after the diet.[2 marks]
  3. 4(b)(ii)What conclusion can be drawn about the special diet programme? Give a reason for your answer.[2 marks]
  4. 4(c)Given that X ~ Bin(8, 0.65), show that P(X > 1) = 0.99643, correct to five decimal places.[5 marks]
  5. 4(d)A machine produces plastic bottles with capacity having mean 24.3 ml and standard deviation 0.6 ml, normally distributed. Find the probability that a plastic…[6 marks]
  6. 4(e)(ii)The correlation coefficient, r, was found to be 0.981. Comment on the accuracy of the answer obtained in part (e)(i) above.[2 marks]

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