The numbers of cars and trucks arriving per minute at a fuel station are modelled by independent variables with distributions $$\(\operatorname{Po}(0.8)\)$$ and $$\(\operatorname{Po}(0.5)\)$$ respectively. Use a suitable approximating distribution to find the probability that a total of fewer than 145 cars and trucks arrive at the fuel station during a randomly chosen 2-hour period. . . . . . . . . . . . . . . . . . . . . . . . . . . .
Exam No:9709_s25_qp_65 Year:2025 Question No:4(b)
Answer:
Knowledge points:
6.1.5 use the normal distribution, with continuity correction, as an approximation to the Poisson distribution where appropriate. (The condition that is large should be known; , approximately.)
Solution:
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