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...

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