CAIE Mathematics (9709)

employees at each of two companies, AandB. Company CompanyB 5 4 1 1 0 254 4 5 6 6 7 9 9 8 7 2 1 0 260 1 3 5 5 7 9 9 8 6 4 2 1 0 271 3 4 6 6 8 8 6 5 4 2 0 280 1 2 2 2 9 8 5 29 1309 Key: 1 6 means $2710 for companyAand $2760 for companyB

Find the median and the interquartile range of the monthly salaries of employees in company A. [3] The lower quartile, median and upper quartile for company Bare $2600, $2690 and $2780 respectively.

Draw two box-and-whisker plots in a single diagram to represent the information for the salaries of employees at companies AandB.

Comment on whether the mean would be a more appropriate measure than the median for comparing the given information for the two companies. [1] 4A fair 5-sided spinner has sides labelled 1, 2, 3, 4, 5. The spinner is spun repeatedly until a 2 is obtained on the side on which the spinner lands. The random variable Xdenotes the number of spins required.

Find P X=4.

Find P X<6. [2] Two fair 5-sided spinners, each with sides labelled 1, 2, 3, 4, 5, are spun at the same time. If the numbers obtained are equal, the score is 0. Otherwise, the score is the higher number minus the lower number.

Find the probability that the score is greater than 0 given that the score isnotequal to 2. [3] The two spinners are spun at the same time repeatedly . than 2 on at least 3 occasions. [3] 5The lengths of Western bluebirds are normally distributed with mean 16.5cm and standard deviation 0.6cm. A random sample of 150 of these birds is selected.

How many of these 150 birds would you expect to have length between 15.4cm and 16.8cm? [4] The lengths of Eastern bluebirds are normally distributed with mean 18.4cm and standard deviation 3cm. It is known that 72% of Eastern bluebirds have length greater than 17.1cm.

Find the value of 3. [3] A random sample of 120 Eastern bluebirds is chosen. greater than 17.1cm. [5] 6In a group of 25 people there are 6 swimmers, 8 cyclists and 11 runners. Each person competes in only one of these sports. A team of 7 people is selected from these 25 people to take part in a competition. 1 swimmer, at least 4 cyclists and at most 2 runners. [4] For another competition, a team of 9 people consists of 2 swimmers, 3 cyclists and 4 runners. The team members stand in a line for a photograph. cyclists stand together and the runners stand together? [2] each other? [4] Additional Page If you use the following lined page to complete the answer

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