Quelpr
6 marksProbability, Probability Distributions and Regression

CAPE Integrated Mathematics · 2017 · Paper 2 · Question 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 bottle selected at random has a capacity less than 24 ml.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  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(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…[3 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]

More practice: the rest of this paper · more Probability, Probability Distributions and Regression questions · all CAPE Integrated Mathematics past papers