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.

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter5: Decimals
Section5.6: Ratios And Rate
Problem 5.127TI: TRY IT : 5127 Find the unit rate: $630 for 35 hours.
icon
Related questions
Topic Video
Question
Question and answer key
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill