9 A survey has found that, of the 2400 households in Growmore, 1680 eat home-grown fruit and vegetables.
9
- Using the binomial distribution, find the probability that, out of a random sample of 25 households in Growmore, exactly 22 eat home-grown fruit and vegetables.
[0pt]
[2 marks]
9 - Give a reason why you would not expect your calculation in part (a) to be valid for the 25 households in Gifford Terrace, a residential road in Growmore.
Shona calculated four correlation coefficients using data from the Large Data Set.
In each case she calculated the correlation coefficient between the masses of the cars and the CO2 emissions for varying sample sizes.
A summary of these calculations, labelled A to D, are listed in the table below.
| \cline { 2 - 3 }
\multicolumn{1}{c|}{} | Sample size | |
| A | 3827 | 0.088 |
| B | 3735 | 0.246 |
| C | 24 | 0.400 |
| D | 1250 | - 1.183 |