11 The quantity of fuel used by a coach on a return trip of 200 km is modelled as a normal variable with mean 45 litres and standard deviation 1.5 litres. (i) Find the probability that in nine return journeys the coach uses between 400 and 406 litres of fuel. (ii) Find the volume of fuel which is 95% certain to be sufficient to cover the total fuel requirements for two return journeys.

A First Course in Probability (10th Edition)
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11 The quantity of fuel used by a coach on a return trip of 200 km is modelled as
a normal variable with mean 45 litres and standard deviation 1.5 litres.
(i) Find the probability that in nine return journeys the coach uses between
400 and 406 litres of fuel.
(ii) Find the volume of fuel which is 95% certain to be sufficient to cover the
total fuel requirements for two return journeys.
Transcribed Image Text:11 The quantity of fuel used by a coach on a return trip of 200 km is modelled as a normal variable with mean 45 litres and standard deviation 1.5 litres. (i) Find the probability that in nine return journeys the coach uses between 400 and 406 litres of fuel. (ii) Find the volume of fuel which is 95% certain to be sufficient to cover the total fuel requirements for two return journeys.
11 (i) 0.4546
(ii) 93.49 litres
Transcribed Image Text:11 (i) 0.4546 (ii) 93.49 litres
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