It was found that 68% of the passengers on a train used a cell phone during their train journey. Of those using a cell phone, 70% were under 30 years old, 25% were between 30 and 65 years old and the rest were over 65 years old. Of those not using a cell phone, 26% were under 30 years old and 64% were over 65 years old.
a) Draw a tree diagram to represent this information, giving all probabilities as decimals.
b) Given that one of the passengers is 45 years old, find the probability of this passenger using a cell phone during the journey.
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