a) The probability of Johan taking a bus to work is 0.25. If he takes a bus, the probability of him being late for work is 0.65. If he does not take a bus, the probability of him being late is 0.35. i) Construct a tree diagram for the above information. ii) Find the probability that Johan will not be late for work. iii) Find the probability of Johan taking the bus given that he is late for work.

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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a) The probability of Johan taking a bus to work is 0.25. If he takes a bus, the probability of
him being late for work is 0.65. If he does not take a bus, the probability of him being
late is 0.35.
i) Construct a tree diagram for the above information.
ii) Find the probability that Johan will not be late for work.
iii) Find the probability of Johan taking the bus given that he is late for work.
Transcribed Image Text:a) The probability of Johan taking a bus to work is 0.25. If he takes a bus, the probability of him being late for work is 0.65. If he does not take a bus, the probability of him being late is 0.35. i) Construct a tree diagram for the above information. ii) Find the probability that Johan will not be late for work. iii) Find the probability of Johan taking the bus given that he is late for work.
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