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A truck rental company has a fleet of 5 trucks. It rents them out at RM80 per truck per day. The daily demand for trucks

A truck rental company has a fleet of 5 trucks. It rents them out at RM80 per truck per day. The daily demand for trucks is known to follow a Poisson distribution with mean 5.

(i) Calculate the probability that the demand for trucks on a particular day can be met.

(ii) Write the probability distribution for the daily income received from the truck rental.

(iii) Find the expected daily income received from the rental.

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