19M.1.SL.TZ1.T_5

pestleMathematicsAASLPaper 119M· sl-4-2-histograms-cf-graphs-box-plotssource ↗

A florist sells bouquets of roses. The florist recorded, in Table 1, the number of roses in each bouquet sold to customers.

Table 1

The roses can be arranged into bouquets of size small, medium or large. The data from Table 1 has been organized into a cumulative frequency table, Table 2.

Table 2

Complete the cumulative frequency table.

[2]

Write down the probability that a bouquet of roses sold is not small.

[2]

A customer buys a large bouquet.

Find the probability that there are 12 roses in this bouquet.

[2]

Markscheme / solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

(A1)(A1)(ft) (C2)

Note: Award (A1) for 10; (A1)(ft) for the last column all correct. Follow through from their 10 for their 50 in the last column.

[2 marks]

$\frac{{35}}{{50}}\,\,\left( {0.7{\text{,}}\,\,\frac{7}{{10}}{\text{,}}\,\,70\,{\text{% }}} \right)$ (A1)(ft)(A1)(ft) (C2)

Note: Award (A1)(ft) for their numerator being 25 + their 10, and (A1)(ft) for their denominator being their 50. Follow through from part (a).

[2 marks]

$\frac{4}{{10}}\,\,\left( {0.4{\text{,}}\,\,\frac{2}{5}{\text{,}}\,\,40\,{\text{% }}} \right)$ (A1)(A1)(ft) (C2)

Note: Award (A1) for a numerator of 4 and (A1)(ft) for their 10 as denominator. Follow through from part (a).

[2 marks]

Examiners’ report

[N/A]