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.
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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
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
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON