O-LevelMathematicsProbability4024/11 · May/June 2021 · Q114 Marks
In a survey, 3 out of every 100 women were taller than 1.9m. One of these 100 women is picked at random. Calculate the probability that she is not taller than 1.9m.
- (a)In a survey, 3 out of every 100 women were taller than 1.9m. One of these 100 women is picked at random. Calculate the probability that she is not taller than 1.9m.[1]
- (b)(i)A new housing estate is being planned. There are three possible plans: A, B and C. A survey was carried out to see which plan people preferred. The relative frequency table shows the results. Plan | A | B | C Relative frequency | 0.3 | 0.5 | 0.2 52 people preferred plan C. Find how many people preferred plan A.[2]
- (b)(ii)Calculate the total number of people surveyed.[1]
Mark scheme
Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.
- [1] (a) 0.97 or 97/100
- [2] (b)(i) 78
- M1 for 52 ÷ [0.]2 oe or 52 × 1.5 oe
- [1] (b)(ii) 260
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