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# Unit 4 Probability Practice SAC

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### Unit 4 Probability Practice SAC

1. 1. Practice: SAC type questions Task 1 A taxi company determined that on an annual basis the distance travelled per taxi is normally distributed with a mean of 92 000 kilometres and a standard deviation of 23 500 kilometres. a What is the probability, correct to four decimal places, that a taxi travels less than 75 000 kilometres per year? b What is the probability, correct to four decimal places, that a taxi travels more than 80 000 kilometres per year? c What is the probability, correct to four decimal places, that a taxi travels between 60 000 and 100 000 kilometres in the year? d Find the minimum mileage that could be expected by 95% of taxis, to the nearest km. e Fred runs a fleet of 10 taxis. What is the probability that at least four of the taxis travel more than 80 000 kilometres in a year? Solution: a 0.2347 b 0.6952 c 0.5466 d 53 346 e 0.9884 Task 2 Checkpoints Questions 131, 129, 109, 146. Solutions in book
2. 2. Task 3
3. 3. Task 4 CAS Task – A glow in the dark. Questions and solutions available through wiki.
4. 4. Task 5 CAS Task – Public transport systems. Questions and solutions available through wiki.