To get to school, a student may walk, drive or travel by bus. Twenty per cent of the students  walk, 30% drive and 50% travel by bus. The probability that a student who walks will be late is 0.4 and a student who drives or travels by bus will be late is 0.20 and 0.35 respectively. a) Draw a tree diagram to illustrate this information showing the probability on EACH branch.  Calculate the probability that b) a student chosen at random will arrive late  c) a student traveled by bus given that they arrived late.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
icon
Related questions
Question

4. To get to school, a student may walk, drive or travel by bus. Twenty per cent of the students 
walk, 30% drive and 50% travel by bus. The probability that a student who walks
will be late is 0.4 and a student who drives or travels by bus will be late is 0.20 and 0.35
respectively.
a) Draw a tree diagram to illustrate this information showing the probability on EACH branch. 

Calculate the probability that
b) a student chosen at random will arrive late 
c) a student traveled by bus given that they arrived late. 

Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill