0580/33 May/Jun 2025, Question 20: Relative Frequency and Expectation
Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 3 marks
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The question, in short
A spinner numbered 1 to 5 is spun many times, giving relative frequencies for each number. Complete the table and find the expected count of 2 in 1500 further spins.
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Part (a) · 2 marks
Using the relative frequencies given for numbers 1, 2, 4 and 5, work out the missing relative frequency for number 3.
- 10.15 + 0.22 + 0.26 + 0.25 = 0.88
- 2Number 3: 1 − 0.88 = 0.12
Answer0.12
Part (b) · 1 mark
Using the relative frequency of 2, calculate how many times it is expected to occur in 1500 spins.
- 1Expected = 0.22 × 1500 = 330
Answer330
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Also searched as: 0580/33/M/J/25 · 0580_s25_qp_33 · 0580 s25 33 · question 20.
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