1. Suppose that the daily fuel consumption of a truck made in Canada is uniformly distributed between 0 and 60 liters. (a) What is the probability that a truck consumes at most 25 liters of fuel in one day? (b) What is the probability that a truck takes 11 days to consume at least 45 liters of fuel for the fifth time? (c) On average these trucks have 3 electrical problems. What is the probability that more than 2 electrical problems are found on a truck?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Exercise 4:
1. Suppose that the daily fuel consumption of a truck made in Canada is
uniformly distributed between 0 and 60 liters.
(a) What is the probability that a truck consumes at most 25 liters of
fuel in one day?
(b) What is the probability that a truck takes 11 days to consume at
least 45 liters of fuel for the fifth time?
(c) On average these trucks have 3 electrical problems. What is the
probability that more than 2 electrical problems are found on a truck?
2. Amongst all trucks made in Canada that have ignition problems, assume
that the starter is at fault in 60% of the cases; the battery is at fault in
25% of the cases, and one of the plugs is at fault the rest of the time. A
truck is brought to a mechanic because of 4 ignition problems. What is
the probability that two of the ignition problems are due to starter and
the other two are due to plugs?
Transcribed Image Text:Exercise 4: 1. Suppose that the daily fuel consumption of a truck made in Canada is uniformly distributed between 0 and 60 liters. (a) What is the probability that a truck consumes at most 25 liters of fuel in one day? (b) What is the probability that a truck takes 11 days to consume at least 45 liters of fuel for the fifth time? (c) On average these trucks have 3 electrical problems. What is the probability that more than 2 electrical problems are found on a truck? 2. Amongst all trucks made in Canada that have ignition problems, assume that the starter is at fault in 60% of the cases; the battery is at fault in 25% of the cases, and one of the plugs is at fault the rest of the time. A truck is brought to a mechanic because of 4 ignition problems. What is the probability that two of the ignition problems are due to starter and the other two are due to plugs?
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