A truck rental company has a fleet of 5 trucks. It rents them out at RM80 per truck per day. Th 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.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 is known to follow a Poisson distribution with mean 5.
3.
(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.
A process for making plate glass produces small bubbles (imperfections) scattered at random in
the glass, at an average rate of four small bubbles per 10m?. Consider glass pieces with
4.
dimensions 2.5m x 2.0m.
(i) Quantify the probability that a piece of glass contains at least one small bubble.
(ii) Calculate the probability that five glass pieces chosen at random are all free of bubbles.
(iii) Suppose ten glass pieces were randomly chosen. Write the probability that 5 of the pieces
contain at least one small bubble each?
Transcribed Image Text: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. 3. (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. A process for making plate glass produces small bubbles (imperfections) scattered at random in the glass, at an average rate of four small bubbles per 10m?. Consider glass pieces with 4. dimensions 2.5m x 2.0m. (i) Quantify the probability that a piece of glass contains at least one small bubble. (ii) Calculate the probability that five glass pieces chosen at random are all free of bubbles. (iii) Suppose ten glass pieces were randomly chosen. Write the probability that 5 of the pieces contain at least one small bubble each?
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